Solar System data

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Data on Solar System objects.

Star Sol

Star Sol (☉︎).

  • dmax = (1.5209124024768575482050243603340E11 ± 1000.0000049665280877186631511073) m = α🜨rmin,🜨
  • dmin = (1.4709206461346995481837104955408E11 ± 2236.0679886951370999630683009086) m = π🜨rmax,🜨
  • δe,max = (32.549089711594099381629815789191 ± 0.0030383154609148420537653582447128)' = 2asin(re/dmin)
  • δp,min = (31.477633133877767054679096275868 ± 0.0029551128269606612047486105298695)' = 2asin(rp/dmax)
  • f = 0.00005
  • re = (696342 ± 65) km
  • rp = (6.9630718290E8 ± 65368.698385839839208114704073318) m = −(f − 1)re

Planet Jupiter

Planet Jupiter (♃).

  • a = 778.479E6 km
  • α = 816.363E6 km
  • dmax = (8.3040452153756847292476118693122E11 ± 983083.23687899791494756689430665) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (5.8849101861346995481837104955408E11 ± 2.2360682011065874613956858897782E6) m = πα🜨rmax,🜨
  • δe,max = (50.115577292011611607058157849591 ± 0.00072639900116543009038607598428538)" = 2asin(re/dmin)
  • δp,min = (33.159669076755426476443372392270 ± 0.0089971814843987142886486730713841)" = 2asin(rp/dmax)
  • π = (7.40595E11 ± 2.2360679774997896964091736687313E6) m = 2aα
  • r = (69911 ± 6) km
  • re = 71492 km
  • rp = (6.6749E7 ± 18110.770276274833253147616333968) m = 3r − 2re

Planet Saturn

Planet Saturn (♄).

  • a = 1433.53E6 km
  • α = 1514.50E6 km
  • dmax = (1.5221118807749727292166867603896E12 ± 9.9499497656418012341204540508955E6) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (1.2004560186134699548183710495541E12 ± 2.2360679797358577847444035813535E7) m = πα🜨rmax,🜨
  • δe,max = (20.71074184372051270472126674823 ± 0.0005166370410419963595958474095447)" = 2asin(re/dmin)
  • δp,min = (14.678686960924656270109313417449 ± 0.0049094002655546655235419837164275)" = 2asin(rp/dmax)
  • π = (1.35256E12 ± 2.2360679774997896964091736687313E7) m = 2aα
  • r = (58232 ± 6) km
  • re = 60268 km
  • rp = (5.416E7 ± 18110.770276274833253147616333968) m = 3r − 2re

Planet Uranus

Planet Uranus (⛢).

  • a = 2.870972E9 km
  • α = 3.00639E9 km
  • dmax = (3.0102286027007139677246575761559E12 ± 9.9872270455085920399321427528095E6) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (2.5834500186134699548183710495541E12 ± 1.0198039076214605781486501623154E7) m = πα🜨rmax,🜨
  • δe,max = (4.0813037952907347294343994483903 ± 0.0006389298287894383982434815333879)" = 2asin(re/dmin)
  • δp,min = (3.4223653325507628807299127059015 ± 0.0027408759060746596099586009009516)" = 2asin(rp/dmax)
  • π = (2.735554E12 ± 1.0198039027185569660056448218046E7) m = 2aα
  • re = (25559 ± 4) km
  • rp = (24973 ± 20) km

Planet Neptune

Planet Neptune (♆).

  • a = (4.498407971949E12 ± 1.495978707E9) m = 30.07 AU
  • α = (4.537303418331E12 ± 1.495978707E9) m = 30.33 AU
  • dmax = (4.5398456220033094562651791221215E12 ± 1.4951389016172299508184560415022E9) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (4.3074085441804699548183710495541E12 ± 3.345110081744389954725670911498E9) m = πα🜨rmax,🜨
  • δe,max = (2.3717005756662317185122893669135 ± 0.0023358462167698838697425224493574)" = 2asin(re/dmin)
  • δp,min = (2.2118336467437559427103793771768 ± 0.0028217055150323473146748236149033)" = 2asin(rp/dmax)
  • π = (4.459512525567E12 ± 3.3451100817442404828061181678871E9) m = 2aα
  • re = (24764 ± 15) km
  • rp = (24341 ± 30) km

Planet Terra

Planet Terra (🜨).

  • a = 149598023 km
  • α = 152097597 km
  • C = (4.003022870446737255794238264496E7 ± 0.46800736519958792204236712090006) m = 2π0r
  • δ = 180°
  • f = 0.0033528106647474807198455286185206 ± 1.1241339353644443553823696996327E-14 = 298.257223563−1
  • h = +6263.47 m
  • φ = −(0.025641801411647532015402479952681 ± 1.7453292519943295769236907684886E-8)r = −1.469167°
  • π = (1.47098449E11 ± 2236.0679774997896964091736687313) m = 2aα
  • r = (6.3710087714150598325213221998779E6 ± 0.074485685574928293323468120910676) m = [math]\displaystyle{ \frac{2r_e+r_p}{3} }[/math]
  • re = 6378.1370 km
  • rmax = (6.3843865300451816289504459171215E6 ± 0.22375682286241097235424315226049) m = [math]\displaystyle{ \sqrt{\frac{(\cos[\phi]r_\mathrm{e}^2)^2+(\sin[\phi]r_\mathrm{p}^2)^2}{(\cos[\phi]r_\mathrm{e})^2+(\sin[\phi]r_\mathrm{p})^2}}+h }[/math]
  • rmin = rp = (6.3567523142451794975639665996337E6 ± 0.099664718933551041988577273088083) m = −(f − 1)re

Planet Venus

Planet Venus (♀).

  • a = (1.082089270091724E11 ± 149597.8707) m = 0.723332 AU
  • α = (1.089391142160591E11 ± 149597.8707) m = 0.728213 AU
  • dmax = (1.870802799146427534302927598549E11 ± 87113.48681909334117679296878281) m = [math]\displaystyle{ \sqrt{\alpha_\oplus^2+\alpha^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (1.8217383739314897316588851351945E11 ± 197355.81521071839075495300448679) m = [math]\displaystyle{ \sqrt{\pi_\oplus^2+\pi^2}-r_{\mathrm{max},\oplus} }[/math]
  • dmin* = (3.8152950397410854818371049554083E10 ± 149614.58123466437589632427285545) m = π🜨αrmax,🜨
  • δe,max = (13.704200386978975986150980634373 ± 0.0022645320256533960618188673687246)" = 2asin(re/dmin)
  • δe,max* = (1.0905870349499817398048629211605 ± 0.00018025944492847952922209945619809)' = 2asin(re/dmin*)
  • δp,min = (13.344787507099331456628082902984 ± 0.0022051026964193540301592173017059)" = 2asin(rp/dmax)
  • m = (4867.5 ± 0.2)E21 kg
  • P = (2.099715264E7 ± 8.64) s = 243.0226 d
  • π = (1.074787398022857E11 ± 334511.00817442404828061181678871) m = 2aα
  • r = (6051.8 ± 1.0) km
  • re = (6.0518001540473630205875615870764E6 ± 1000.0000254548036656428002788472) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (6.0517996919052739588248768258477E6 ± 999.99994909041031947990077251405) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Planet Mars

Planet Mars (♂).

  • a = 227939366 km
  • α = 249261000 km
  • dmax = (2.9199488491315266555386091295679E11 ± 853630.09069014407544073581189223) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (5.4513750613469954818371049554083E10 ± 1.0000024999969000413077806658572E6) m = πα🜨rmax,🜨
  • δe,max = (25.700544451492779197449676308284 ± 0.00089158765308439455528175641371082)" = 2asin(re/dmin)
  • δp,min = (4.7698865620477542663584032367593 ± 0.00014196624060303258751810475960605)" = 2asin(rp/dmax)
  • π = (2.06617732E11 ± 1.000001999998000003999990000028E6) m = 2aα
  • re = (3396.2 ± 0.1) km
  • rp = (3376.2 ± 0.1) km

Jovian Satellite Ganymede

Jovian Satellite Ganymede.

  • α = 1071600 km
  • dmax = (8.3040521296328458309859346113621E11 ± 983082.4267976293318564852644538) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♃}}^2+\alpha^2} }[/math]
  • dmin = (5.8741941861346995481837104955408E11 ± 2.2383031519434649777754012812165E6) m = dmin,♃α
  • δe,max = (1.8500081168516263639525877660944 ± 0.00021081697115976641880998036484687)" = 2asin(re/dmin)
  • δp,min = (1.3083628992194648224762369447488 ± 0.00014901868607682720204612762319518)" = 2asin(rp/dmax)
  • m = 1.4819E23 kg
  • P = (618153.375744 ± 0.000864) s = 7.15455296 d
  • r = (2634.1 ± 0.3) km
  • re = (2.6343095368525535298979659694619E6 ± 300.02387325122667051910573765993) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (2.633680926294892940204068061076E6 ± 299.95230697848851864627090169826) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Saturnian Satellite Titan

Saturnian Satellite Titan.

  • α = 1257060 km
  • dmax = (1.5221123998562551609898862188965E12 ± 9.9499463724446444116131543055962E6) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♄}}^2+\alpha^2} }[/math]
  • dmin = (1.1991989586134699548183710495541E12 ± 2.2360682033426441307778286882709E7) m = dmin,♄α
  • δe,max = (0.8857328156308015090814358159694 ± 0.00003509052596514345590963105473037)" = 2asin(re/dmin)
  • δp,min = (0.69779167912007910714815231706525 ± 0.000024814241932850107938927799477864)" = 2asin(rp/dmax)
  • m = (1.3452 ± 0.0002)E23 kg
  • P = (1.377648E6 ± 86.4) s = 15.945 d
  • r = (2574.73 ± 0.09) km
  • re = (2.5747724234666186838664982852257E6 ± 90.001483410749923414670832269485) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (2.5746451530667626322670034295487E6 ± 89.997036138514569812319048989816) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Planet Mercury

Planet Mercury (☿).

  • α = (6.98168774620779E10 ± 149597.8707) m = 0.466697 AU
  • dmax = (1.6734977666301418756594260051672E11 ± 62415.182506291192588780899987149) m = [math]\displaystyle{ \sqrt{\alpha_\oplus^2+\alpha^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (7.7275187151392054818371049554083E10 ± 149614.58123466437589632427285545) m = π🜨αrmax,🜨
  • δe,max = (13.026519404358484128366613475607 ± 0.00068880719717083531267935096847384)" = 2asin(re/dmin)
  • δp,min = (6.0096928766403224966258023933195 ± 0.00068019592882980055537539875878304)" = 2asin(rp/dmax)
  • f = 0.0009
  • r = (2439.4 ± 0.1) km
  • re = (2.4401320396118835650695208562569E6 ± 128.94107593360680125894955284279) m = [math]\displaystyle{ \frac{-3r}{f-3} }[/math]
  • rp = (2.4379359207762328698609582874862E6 ± 275.93175206073380774470281441497) m = [math]\displaystyle{ \frac{3(f-1)r}{f-3} }[/math]

Jovian Satellite Callisto

Jovian Satellite Callisto.

  • α = 1897000 km
  • dmax = (8.3040668831545306973553950279788E11 ± 983083.32592017454517376124703137) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♃}}^2+\alpha^2} }[/math]
  • dmin = (5.8659401861346995481837104955408E11 ± 2.4494899469073250448631436724676E6) m = dmin,♃α
  • δe,max = (1.6950999034452036167094676830048 ± 0.0010549338656223241325822742019151)" = 2asin(re/dmin)
  • δp,min = (1.1973524061827979954954456275039 ± 0.00074514868136640627492683703515084)" = 2asin(rp/dmax)
  • m = (1.075938 ± 0.000137)E23 kg
  • P = (1.44193118976E6 ± 0.00864) s = 16.6890184 d
  • r = (2410.3 ± 1.5) km
  • re = (2.4103371835504931845570782568187E6 ± 1500.0231420222554972182057151537) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (2.4102256328990136308858434863629E6 ± 1499.9537256404809602203965315336) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Jovian Satellite Io

Jovian Satellite Io.

  • α = 423400 km
  • dmax = (8.3040462947746023618841553380092E11 ± 983083.11041543868536750296241325) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♃}}^2+\alpha^2} }[/math]
  • dmin = (5.8806761861346995481837104955408E11 ± 2.2383031519434649777754012812165E6) m = dmin,♃α
  • δe,max = (1.2758186006115165938918458891654 ± 0.000035409569728211189330416823094472)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.90220478385668260139264206458912 ± 0.00074600044303443443093994586958067)" = 2asin(rp/dmax)
  • r = (1821.6 ± 0.5) km
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (1.83E6 ± 50) m = (3660.0 km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (1.8187E6 ± 50) m = (3637.4 km)/2
  • rp = (1.8161E6 ± 1501.6657417681206461012253568596) m = [math]\displaystyle{ 3r-r_{\mathrm{e}_a}-r_{\mathrm{e}_b} }[/math]

Terran Satellite Luna

Terran Satellite Luna.

  • αmax = 406700 km
  • dmax = (4.0034324768575482050243603340037E8 ± 100000.00000004966528100050630454) m = αmaxrmin,🜨
  • dmin = (3.5001561346995481837104955408288E8 ± 100000.00000025033557888708846853) m = πminrmax,🜨
  • δe,max = (34.142318167779726305388597288522 ± 0.0099504175490098189823746848993722)' = 2asin(re/dmin)
  • δp,min = (29.819303636472614445417667957098 ± 0.0096862578055441211945453588402752)' = 2asin(rp/dmax)
  • πmin = 356400 km
  • r = (1737.5 ± 0.1) km
  • re = 1738.1 km
  • rp = (1.7363E6 ± 360.55512754639892931192212674705) m = 3r − 2re

Jovian Satellite Europa

Jovian Satellite Europa.

  • α = 676938 km
  • dmax = (8.3040479745428606586564528142351E11 ± 983082.91023249971654660711157996) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♃}}^2+\alpha^2} }[/math]
  • dmin = (5.8781408061346995481837104955408E11 ± 2.2360684247133516703616997354357E6) m = dmin,♃α
  • δe,max = (1.0956010972639616311861538720115 ± 0.00035099902326891557679784173552623)" = 2asin(re/dmin)
  • δp,min = (0.77505471560751979803462664785578 ± 0.00024828953386270602828053296700135)" = 2asin(rp/dmax)
  • m = 4.79984E22 kg
  • P = (306822.0384 ± 0.0864) s = 3.551181 d
  • r = (1560.8 ± 0.5) km
  • re = (1.5611236919764961281816837445995E6 ± 500.10379105762958101929535520387) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (1.5601526160470077436366325108009E6 ± 499.79299896047405667110793253061) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Neptunian Satellite Triton

Neptunian Satellite Triton.

  • a = 354759 km
  • α = (3.54764676144E8 ± 1061.077729639539649875635565355) m = (e + 1)a
  • dmax = (4.5373034322002482784738149220284E12 ± 1.4959787024272178582022804161232E9) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♆}}^2+\alpha^2} }[/math]
  • dmin = (4.3070537795043259548183710495541E12 ± 3.3451100817445582430511405849429E9) m = dmin,♆α
  • δe,max = (0.12964301445610937405886506320230 ± 0.00013255405415211872345259729107566)" = 2asin(re/dmin)
  • δp,min = (0.12302326044331280016738396194693 ± 0.000091312840149667177417625169772590)" = 2asin(rp/dmax)
  • e = 0.000016
  • m = (2.1389 ± 0.0028)E22 kg
  • P = (507760.1856 ± 0.0864) s = 5.876854 d
  • r = (1353.4 ± 0.9) km
  • re = (1.3535499476595055629104446323691E6 ± 900.09978509397542743014661489434) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (1.3531001046809888741791107352618E6 ± 899.80085662137415134142017289885) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Minor Planet Pluto

Minor Planet Pluto.

  • a = 5.90638E9 km
  • α = 7.37593E9 km
  • dmax = (7.3774916638447210901579119070263E12 ± 9.9978745903055814012711087318063E6) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (4.2847260186134699548183710495541E12 ± 2.2360679797358577847444035813535E7) m = πα🜨rmax,🜨
  • δe,max = (0.11442039523774482823901011264408 ± 0.000077033637152452133799197524223804)" = 2asin(re/dmin)
  • δp,min = (0.066432704886953811873166047484975 ± 0.000044724633954298607667226379350547)" = 2asin(rp/dmax)
  • m = (1.3025 ± 0.0006)E22 kg
  • P = (551856.672 ± 0.0864) s = 6.387230 d
  • π = (4.43683E12 ± 2.2360679774997896964091736687313E7) m = 2aα
  • r = (1188.3 ± 0.8) km
  • re = (1.1884238844601665333822436493119E6 ± 800.08344398125573239541609846271) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (1.1880522310796669332355127013764E6 ± 799.83335907102373588256523380547) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Uranian Satellite Titania

Uranian Satellite Titania.

  • a = 435910 km
  • α = (4.363895010E8 ± 44725.780060273962761153068913132) m = (e + 1)a
  • dmax = (3.0102286343321647172832330877957E12 ± 9.9872269405650202532739071015135E6) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{⛢}}^2+\alpha^2} }[/math]
  • dmin = (2.5830136291124699548183710495541E12 ± 1.0198137153196266465042571925247E7) m = dmin,⛢α
  • δe,max = (0.12592207643833554251135657615094 ± 0.000095832468162855897894667048059053)" = 2asin(re/dmin)
  • δp,min = (0.10803105002377983650407868530840 ± 0.000082216433138841272440722627161353)" = 2asin(rp/dmax)
  • e = 0.0011
  • m = (3.4550 ± 0.0509)E21 kg
  • P = (752218.6176 ± 0.0864) s = 8.706234 d
  • r = (788.4 ± 0.6) km
  • re = (788448.70718447305101466061189134 ± 600.03750723732683370355217787133) m = [math]\displaystyle{ r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right) }[/math]
  • rp = (788302.58563105389797067877621728 ± 599.9276220381056051728878413224) m = [math]\displaystyle{ r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right) }[/math]

Saturnian Satellite Rhea

Saturnian Satellite Rhea.

  • a = 527108 km
  • α = (5.277712599964E8 ± 1002.6448083721024284511827755561) m = (e + 1)a
  • dmax = (1.5221119722736654417257355720684E12 ± 9.9499491675206357413933528435560E6) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♄}}^2+\alpha^2} }[/math]
  • dmin = (1.1999282473534735548183710495541E12 ± 2.2360679819837693428021622512036E7) m = dmin,♄α
  • δe,b,max = (0.26224700443933629069282618928564 ± 0.000017870938636195757578407958897337)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.20638514487543914513248736794953 ± 0.000406990419519495305575648792953)" = 2asin(rp/dmax)
  • e = 0.0012583
  • r = (763.5 ± 0.5) km
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (766200 ± 50) m = (1532.4 km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (762800 ± 50) m = (1525.6 km)/2
  • rp = (761500 ± 1501.6657417681206461012253568596) m = [math]\displaystyle{ 3r-r_{\mathrm{e}_a}-r_{\mathrm{e}_b} }[/math]

Saturnian Satellite Iapetus

Saturnian Satellite Iapetus.

  • a = 3560820 km
  • α = (3.659387770584E9 ± 10282.979105009792832064687157625) m = (e + 1)a
  • dmax = (1.5221162796301668542153382331671E12 ± 9.9499210107154882937779455748968E6) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♄}}^2+\alpha^2} }[/math]
  • dmin = (1.1967966308428859548183710495541E12 ± 2.2360682161769111021879173825542E7) m = dmin,♄α
  • δe,max = (0.25714234397864741689302828177689 ± 0.000017891855224446917628298178731762)" = 2asin(re/dmin)
  • δp,min = (0.19372775323216878808517558530399 ± 0.0012199084861236383015035085626957)" = 2asin(rp/dmax)
  • e = 0.0276812
  • r = (735.6 ± 1.5) km
  • re = (746000 ± 50) m = (1492.0 km)/2
  • rp = (714800 ± 4501.1109739707595882970497272529) m = 3r − 2re

Saturnian Satellite Dione

Saturnian Satellite Dione.

  • a = 377396 km
  • α = (3.782262712E8 ± 37752.904696195231965628379055620) m = (e + 1)a
  • dmax = (1.5221119277672838150296196130781E12 ± 9.9499494584604470077928608170099E6) m = [math]\displaystyle{ \sqrt{d_{\mathrm{max},\mathrm{♄}}^2+\alpha^2} }[/math]
  • dmin = (1.2000777923422699548183710495541E12 ± 2.2360711667606043572793511855721E7) m = dmin,♄α
  • δe,max = (0.19294821799931985819547537161701 ± 0.000017559594839763401540864688406308)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.15136717896690537662348970299666 ± 0.00032579503845467554915335260766944)" = 2asin(rp/dmax)
  • e = 0.0022
  • r = (561.4 ± 0.4) km
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (564400 ± 50) m = (1128.8 km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (561300 ± 50) m = (1122.6 km)/2
  • rp = (558500 ± 1202.0815280171307914814354155782) m = [math]\displaystyle{ 3r-r_{\mathrm{e}_a}-r_{\mathrm{e}_b} }[/math]

Minor Planet Ceres

Minor Planet Ceres.

  • a = (4.14386101839E11 ± 1.495978707E9) m = 2.77 AU
  • α = (4.62454889652324E11 ± 1.7201706168081509646066867294998E9) m = (1 + e)a
  • dmax = (4.8681825640576918293243340647139E11 ± 1.6340614079035483714966985950569E9) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (2.1421333263914595481837104955408E11 ± 1.3858488689381482206124694225818E9) m = πα🜨rmax,🜨
  • δe,max = (0.92630435820787173323928340729414 ± 0.0059958010235239682526821091198236)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.37785549697598878449236423119754 ± 0.0012711431008468064580987879115624)" = 2asin(rp/dmax)
  • e = 0.116
  • π = (3.66317314025676E11 ± 1.3858488689377874308927240594534E9) m = (1 − e)a
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (483100 ± 100) m = ([966.2 ± 0.2] km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (481000 ± 100) m = ([962.0 ± 0.2] km)/2
  • rp = (445900 ± 100) m = ([891.8 ± 0.2] km)/2

Minor Planet Vesta

Minor Planet Vesta.

  • a = (3.53276867636757E11 ± 1.495978707E6) m = 2.36151 AU
  • α = (3.88165784530827847806E11 ± 1.6812540824112858383503671984118E6) m = (1 + e)a
  • dmax = (4.1689453709849951283179973132732E11 ± 1.5653728194031254855346513551137E6) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (1.6628396935615610701237104955408E11 ± 1.3937551864984601676427401574957E6) m = πα🜨rmax,🜨
  • δe,max = (0.69117155722191649628751546195186 ± 0.00012417891897229293892065704030910)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.22086307522651299800487917948717 ± 0.00030499472820893125697511892417251)" = 2asin(rp/dmax)
  • e = 0.098758
  • π = (3.18387950742686152194E11 ± 1.3937548277553363927812064795903E6) m = (1 − e)a
  • r = (262.7 ± 0.1) km
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (286300 ± 50) m = (572.6 km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (278600 ± 50) m = (557.2 km)/2
  • rp = (223200 ± 308.22070014844882251250961907271) m = [math]\displaystyle{ 3r-r_{\mathrm{e}_a}-r_{\mathrm{e}_b} }[/math]

Minor Planet Pallas

Minor Planet Pallas.

  • a = (4.1452337284515432E11 ± 14959.78707) m = 2.7709176 AU
  • α = (5.3111138764483673373456E11 ± 45669.283463475258880941853362074) m = (1 + e)a
  • dmax = (5.5245448810386055529867245731826E11 ± 43905.289595859428439035211967508) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (1.4583137665894186108381104955408E11 ± 42835.810460907372898385327366829) m = πα🜨rmax,🜨
  • δe,max = (0.75246410914813015641116728905938 ± 0.016972874643896973338196523745709)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.16726560320988721993541855625874 ± 0.0044803286574276592399691356180793)" = 2asin(rp/dmax)
  • e = 0.2812580
  • π = (2.9793535804547190626544E11 ± 42824.136392841763911853830943063) m = (1 − e)a
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (284000 ± 6000) m = ([568 ± 12] km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (266000 ± 6000) m = ([532 ± 12] km)/2
  • rp = (224000 ± 6000) m = ([448 ± 12] km)/2

Minor Planet Hygiea

Minor Planet Hygiea.

  • a = (4.7000359820784600E11 ± 1.495978707E6) m = 3.14178 AU
  • α = (5.337360861248299176E11 ± 4.7031052064258655548576950956672E7) m = (1 + e)a
  • dmax = (5.5497822739847662098976674320913E11 ± 4.5230390847668983782226818075962E7) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (2.5416712890433203721837104955408E11 ± 4.7018145369079983416485072354168E7) m = πα🜨rmax,🜨
  • δe,b,max = (0.34895884085642794334252320577349 ± 0.0081155786230332483023028347131361)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • δp,min = (0.15758506105497543942369021210703 ± 0.0074332686919860280337988177435441)" = 2asin(rp/dmax)
  • e = 0.1356
  • π = (4.06271110290862082400E11 ± 4.7018145358445790571037145847674E7) m = (1 − e)a
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (225000 ± 5000) m = ([450 ± 10] km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (215000 ± 5000) m = ([430 ± 10] km)/2
  • rp = (212000 ± 10000) m = ([424 ± 20] km)/2

Minor Planet Interamnia

Minor Planet Interamnia.

  • a = 457.2 Gm
  • α = 528 Gm
  • dmax = (5.4946400551773067939741322736581E11 ± 9.6092534967432673524072557152595E8) m = [math]\displaystyle{ \sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus} }[/math]
  • dmin = (2.3429601861346995481837104955408E11 ± 1.0198039027190472563680375871356E9) m = πα🜨rmax,🜨
  • δe,b,max = (0.30636522549030376051566194015575 ± 0.0071680086934872835122149192626709)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • π = (3.864E11 ± 1.0198039027185569660056448218046E9) m = 2aα
  • [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (181000 ± 4000) m = ([362 ± 8] km)/2
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (174000 ± 4000) m = ([348 ± 8] km)/2
  • rp = (155000 ± 4000) m = ([310 ± 8] km)/2

Minor Planet Davida

Minor Planet Davida.

  • a = (4.731780650241E11 ± 1.495978707E8) m = 3.163 AU
  • α = (5.623383959613E11 ± 1.495978707E8) m = 3.759 AU
  • dmin = (2.3191375270036995481837104955408E11 ± 3.3451100817591876747613594681338E8) m = πα🜨rmax,🜨
  • δe,b,max = (0.26148450590163578376496130902861 ± 0.0018183519488171012974178530212999)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • π = (3.840177340869E11 ± 3.3451100817442404828061181678871E8) m = 2aα
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (147000 ± 1000) m = ([294 ± 2] km)/2

Minor Planet Eunomia

Minor Planet Eunomia.

  • a = (3.955367701308E11 ± 1.495978707E8) m = 2.644 AU
  • α = 469 Gm
  • dmin = (1.6996955887506995481837104955408E11 ± 1.0437998331446962221295594512127E9) m = πα🜨rmax,🜨
  • δe,b,max = (0.30945262164076352844160432509796 ± 0.018302025092013898866195236722060)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • π = (3.220735402616E11 ± 1.0437998331442172030598520886818E9) m = 2aα
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (127500 ± 7500) m = ([255 ± 15] km)/2

Minor Planet Juno

Minor Planet Juno.

  • dmin = (1.4489601861346995481837104955408E11 ± 1.0000000000500000025021057887489E8) m = πα🜨rmax,🜨
  • δp,max = (0.35588418546778994157428432646140 ± 0.0071219202030624044772353466753741)" = [math]\displaystyle{ 2\operatorname{asin}(r_{\mathrm{e}_b}/d_\mathrm{min}) }[/math]
  • π = 297.0 Gm
  • [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (125000 ± 2500) m = ([250 ± 5] km)/2

Minor Planet Bamberga

Minor Planet Bamberga.

  • a = 401.269 Gm
  • α = 537.718 Gm
  • dmin = (1.1271601861346995481837104955408E11 ± 2.2360682011065874613956858897782E6) m = πα🜨rmax,🜨
  • δp,max = (0.41539890775119500822400183187286 ± 0.0054898595913885011434361461216848)" = 2asin(r/dmin)
  • π = (2.6482E11 ± 2.2360679774997896964091736687313E6) m = 2aα
  • r = (113500 ± 1500) m = ([227 ± 3] km)/2

constants

  • ° = deg = 0.017453292519943295769236907684886r = [math]\displaystyle{ \frac{2\pi_0}{360}\,\mathrm{rad} }[/math]
  • ' = arcmin = 0.00029088820866572159615394846141477r = 60−1 deg
  • " = arcsec = 4.8481368110953599358991410235794E-6 rad = 60−1 arcmin
  • AU ≡ 149597870700 m
  • d ≡ 86400 s ≡ 24·602 s
  • G = 6.67430 × 10−11 N·m2/kg2
  • π0 = 3.1415926535897932384626433832795 = [math]\displaystyle{ \int_{-1}^1(1-x^2)^{-1/2}\operatorname{d}x }[/math]

see also