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Note number : 0068 P/Whipple : 36P

Introduction

The following improved orbital elements, are from 548 observations 1925 August 21 to 2014 February 28, including full planetary and non-gravitational effect of type II, and relativity effect of the sun.

The mean residual is 0.50 arc second.

Elements

Orbital elements given with respect to the mean ecliptic and equinox of J2000.
Epoch : 2011 December 29 at 0h TT, julian day 2455924.5.

Perihelion passage (T) 2011 December 29.57284 TT ±0.00000 TT
Argument of perihelion (ω) 201.5947757° ±0.0000343°
>Longitude of the node (Ω) 182.3906401° ۪.0000312°
Inclinaison (i) 9.9307770° ±0.0000060°
Perihelion distance (q) 3.0878913 ua ±0.0000003 ua
Eccentricity (e) 0.2609508 ±0.0000003
Semimajor axis (a) 4.1781942 ua ±0.0000021 ua
Mean motion (n) 0.11540407°/jour ±0.00000009°/jour
Period (P) 8.541 years ±0.0000065 (0.0024 day)

Non-gravitational parameters :

A1 = 0.53384 .10-8 ±0.03506 .10-8
A2 = -0.04859 .10-8 ±0.00070 .10-8

Formulæ for magnitudes

Total magnitude :
m1 = H1 + 5log(Δ) + 10 log(r) with H1 = 11.98± 0.04 calculated using 189 observation(s).
Nuclear magnitude :
m2 = H2 + 5log(Δ) + 5 log(r) with H2 = 14.01±0.03 calculated using 140 observation(s).

Elements for the next transit through perihelion

Epoch :2020 May 31 at 0h TT, julian day 2459000.5 TT.

T =2020 May 31.63050 TT.
q :3.0216223 ua (J2000) P Q
n : 0.11742011°/jour ω : 200.7698958° +0.92316032 -0.38437409
a : 4.1302316 ua Ω : 181.8633929° +0.37256216 +0.89820247
e : 0.2684134 i : 9.9526869° +0.09472310 +0.21328123
P =8.39 years

Elements for the previous transit(s) through perihelion

Epoch :2003 July 6 at 0h TT, julian day 2452826.5 TT.

T =2003 July 6.65193 TT.
q :3.0882620 ua (J2000) P Q
n : 0.11582655°/jour ω : 202.2131548° +0.90938311 -0.41589688
a : 4.1680280 ua Ω : 182.3992607° +0.40285610 +0.88492621
e : 0.2590592 i : 9.9328558° +0.10358244 +0.20960770
P =8.51 years

Epoch :1994 December 22 at 0h TT, julian day 2449708.5 TT.

T =1994 December 22.43368 TT.
q :3.0938803 ua (J2000) P Q
n : 0.11559302°/jour ω : 201.8764416° +0.91112693 -0.41205747
a : 4.1736398 ua Ω : 182.4957566° +0.39904837 +0.88662118
e : 0.2587093 i : 9.9271297° +0.10299566 +0.21002743
P =8.53 years

Epoch :1986 June 25 at 0h TT, julian day 2446606.5 TT.

T =1986 June 25.05812 TT.
q :3.0775481 ua (J2000) P Q
n : 0.11606958°/jour ω : 202.0427895° +0.90986716 -0.41483117
a : 4.1622080 ua Ω : 182.5041577° +0.40175824 +0.88544013
e : 0.2605972 i : 9.9369283° +0.10359567 +0.20954921
P =8.49 years

Epoch :1978 March 27 at 0h TT, julian day 2443594.5 TT.

T =1978 March 27.55011 TT.
q :2.4686404 ua (J2000) P Q
n : 0.13247414°/jour ω : 189.9682902° +0.94586953 -0.32334130
a : 3.8110850 ua Ω : 189.0462331° +0.30866518 +0.92285158
e : 0.3522474 i : 10.2397979° +0.10028284 +0.20927341
P =7.44 years

Epoch :1970 October 9 at 0h TT, julian day 2440868.5 TT.

T =1970 October 9.42401 TT.
q :2.4795120 ua (J2000) P Q
n : 0.13194587°/jour ω : 189.8099881° +0.94645374 -0.32161520
a : 3.8212506 ua Ω : 189.1006164° +0.30693137 +0.92337933
e : 0.3511255 i : 10.2292407° +0.10009219 +0.20960502
P =7.47 years

Epoch :1963 April 28 at 0h TT, julian day 2438147.5 TT.

T =1963 April 28.76136 TT.
q :2.4710784 ua (J2000) P Q
n : 0.13211347°/jour ω : 189.9938280° +0.94542779 -0.32461732
a : 3.8180181 ua Ω : 189.0988207° +0.30987099 +0.92243102
e : 0.3527850 i : 10.2372982° +0.10072869 +0.20915212
P =7.46 years

Epoch :1955 November 29 at 0h TT, julian day 2435440.5 TT.

T =1955 November 29.75109 TT.
q :2.4497161 ua (J2000) P Q
n : 0.13296758°/jour ω : 190.4424808° +0.94216711 -0.33393045
a : 3.8016506 ua Ω : 189.2177549° +0.31888458 +0.91936973
e : 0.3556178 i : 10.2442632° +0.10312015 +0.20796575
P =7.41 years

Epoch :1948 June 25 at 0h TT, julian day 2432727.5 TT.

T =1948 June 25.74304 TT.
q :2.4488940 ua (J2000) P Q
n : 0.13304585°/jour ω : 190.1034838° +0.94363184 -0.32974648
a : 3.8001595 ua Ω : 189.3038747° +0.31473896 +0.92077443
e : 0.3555813 i : 10.2411969° +0.10246136 +0.20842674
P =7.41 years

Epoch :1941 January 22 at 0h TT, julian day 2430016.5 TT.

T =1941 January 22.38247 TT.
q :2.4848031 ua (J2000) P Q
n : 0.13180152°/jour ω : 190.4384935° +0.94039869 -0.33880561
a : 3.8240401 ua Ω : 189.5228045° +0.32339838 +0.91763909
e : 0.3502152 i : 10.2165056° +0.10518454 +0.20772402
P =7.48 years

Epoch :1933 August 1 at 0h TT, julian day 2427285.5 TT.

T =1933 August 1.44555 TT.
q :2.4969239 ua (J2000) P Q
n : 0.13145596°/jour ω : 190.5477979° +0.93983139 -0.34038219
a : 3.8307386 ua Ω : 189.5090455° +0.32493391 +0.91705561
e : 0.3481873 i : 10.2064483° +0.10552210 +0.20772332
P =7.50 years

Epoch :1926 February 4 at 0h TT, julian day 2424550.5 TT.

T =1926 February 4.26179 TT.
q :2.4836707 ua (J2000) P Q
n : 0.13203692°/jour ω : 190.3987208° +0.94033307 -0.33897414
a : 3.8194936 ua Ω : 189.5737139° +0.32352825 +0.91758867
e : 0.3497382 i : 10.2168382° +0.10537170 +0.20767177
P =7.46 years

Contact

Send your suggestion to the author of the notes : Patrick Rocher

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