C/1978 R3 Machholz
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Comet C/1978 R3 was discovered on 12 September 1978 by Donald E. Machholz (Mt Loma Prita, California, USA), that is about a month after its perihelion passage.This comet was last observed on late September 1979.
Comet had its closest approach to the Earth on 15 October 1978 (1.510 au), about a month after discovery.
Solution given here is based on data spanning over 1.03 yr in a range of heliocentric distances from 1.82 au to 4.89 au.
This Oort spike comet suffers small planetary perturbations during its passage through the planetary system; these perturbations lead to a more tight future orbit.See also Królikowska 2020.

solution description
number of observations 52
data interval 1978 09 14 – 1979 09 25
data type observed only after perihelion (POST)
data arc selection entire data set (STD)
range of heliocentric distances 1.82 au – 4.89au
detectability of NG effects in the comet's motion NG effects not determinable
type of model of motion GR - gravitational orbit
data weighting NO
number of residuals 101
RMS [arcseconds] 1.50
orbit quality class 1b
previous orbit statistics, both Galactic and stellar perturbations were taken into account
no. of returning VCs in the swarm 4828 *
no. of escaping VCs in the swarm 173
no. of hyperbolas among escaping VCs in the swarm 28
previous reciprocal semi-major axis [10-6 au-1] 39.64 – 71.76 – 106.86 R
previous perihelion distance [au] 1.9 – 2.8 – 290 R
previous aphelion distance [103 au] 19 – 28 – 50 R
time interval to previous perihelion [Myr] 0.9 – 1.6 – 3.9 R
percentage of VCs with qprev < 1076
percentage of VCs with 10 < qprev < 201
percentage of VCs with qprev > 2023
Time distribution of positional observations with corresponding heliocentric (red curve) and geocentric (green curve) distance at which they were taken. The horizontal dotted line shows the perihelion distance for a given comet whereas vertical dotted line — the moment of perihelion passage.
previous orbit statistics, here only the Galactic tide has been included
no. of returning VCs in the swarm 4868 *
no. of escaping VCs in the swarm 133
no. of hyperbolas among escaping VCs in the swarm 29
previous reciprocal semi-major axis [10-6 au-1] 37.96 – 71.47 – 106.66 R
previous perihelion distance [au] 1.9 – 2.4 – 12 R
previous aphelion distance [103 au] 19 – 28 – 53 R
time interval to previous perihelion [Myr] 0.91 – 1.7 – 4.3 R
percentage of VCs with qprev < 1089
percentage of VCs with 10 < qprev < 204
percentage of VCs with qprev > 207