## Determination of the Planet X Position and Estimation of its Gravitational Influence on the Solar System Bodies

Transactions of IAA RAS, issue 44, 97–106 (2018)

**DOI**: 10.32876/ApplAstron.44.97-106

**Keywords**:
the solar system, planets, trans-Neptunian bodies, comets, ephemerides.

### Abstract

The authors of the paper [1] proposed that a planet with 10 earth’s masses and an orbit of 700 a. u. semi major axis and 0.6 eccentricity could explain the observed distribution of the Kuiper Belt objects nearby Sedna. Then Fienga et al. [2] used the INPOP planetary ephemeris model as a sensor for testing an additional body in the solar system. They defined the planet position on the orbit using the most sensitive data set — the Cassini radio ranging data. Here we used near-parabolic comets for determination of the planet’s position on the orbit. We made a search for the comets with low Minimum Orbit Intersection Distances (MOID) from the planet’s orbit, assuming that some comets had approached the planet in the past. Three “new” comets with hyperbolic orbits were chosen from the list of 805 near-parabolic ones. We considered both the direct and the inverse cases of the planet’s motion. The true anomaly of the planet was in the interval (176°, 182° ) in the case of the direct motion; thus, the right ascension, the declination and the geocentric distance of the planet were in the intervals (83°, 88°), [7°,10°], and (1116, 1119) a. u., correspondingly. The true anomaly was in (216°, 224°) in the case of the inverse motion; and all other values in that case were in the intervals (48°, 55°), (–12°,–8°) and (800, 874) a. u. The true anomaly for the inverse motion, υ, had to be transformed by 360°-v in order to make a comparison with the direct motion case. It gave us the interval (136°, 144°) which belonged to the intervals of the true anomaly of the possible planet’s position given by [2]. The improved position of the planet X made it possible to estimate its gravitational perturbations on the motion of the bodies of the solar system. Thus, perturbations from the planet X changed the orbital period of the Halley's Comet by 3.2 s.

### Citation

`Yu. D. Medvedev, D. E. Vavilov, Yu. S. Bondarenko, D. A. Bulekbaev. Determination of the Planet X Position and Estimation of its Gravitational Influence on the Solar System Bodies // Transactions of IAA RAS. — 2018. — Issue 44. — P. 97–106.`

```
@article{medvedev2018,
abstract = {The authors of the paper [1] proposed that a planet with 10 earth’s masses and an orbit of 700 a. u. semi major axis and 0.6 eccentricity could explain the observed distribution of the Kuiper Belt objects nearby Sedna. Then Fienga et al. [2] used the INPOP planetary ephemeris model as a sensor for testing an additional body in the solar system. They defined the planet position on the orbit using the most sensitive data set — the Cassini radio ranging data.
Here we used near-parabolic comets for determination of the planet’s position on the orbit. We made a search for the comets with low Minimum Orbit Intersection Distances (MOID) from the planet’s orbit, assuming that some comets had approached the planet in the past. Three “new” comets with hyperbolic orbits were chosen from the list of 805 near-parabolic ones. We considered both the direct and the inverse cases of the planet’s motion. The true anomaly of the planet was in the interval (176°, 182° ) in the case of the direct motion; thus, the right ascension, the declination and the geocentric distance of the planet were in the intervals (83°, 88°), [7°,10°], and (1116, 1119) a. u., correspondingly. The true anomaly was in (216°, 224°) in the case of the inverse motion; and all other values in that case were in the intervals (48°, 55°), (–12°,–8°) and (800, 874) a. u. The true anomaly for the inverse motion, υ, had to be transformed by 360°-v in order to make a comparison with the direct motion case. It gave us the interval (136°, 144°) which belonged to the intervals of the true anomaly of the possible planet’s position given by [2].
The improved position of the planet X made it possible to estimate its gravitational perturbations on the motion of the bodies of the solar system. Thus, perturbations from the planet X changed the orbital period of the Halley's Comet by 3.2 s.},
author = {Yu.~D. Medvedev and D.~E. Vavilov and Yu.~S. Bondarenko and D.~A. Bulekbaev},
doi = {10.32876/ApplAstron.44.97-106},
issue = {44},
journal = {Transactions of IAA RAS},
keyword = {the solar system, planets, trans-Neptunian bodies, comets, ephemerides},
pages = {97--106},
title = {Determination of the Planet X Position and Estimation of its Gravitational Influence on the Solar System Bodies},
url = {http://iaaras.ru/en/library/paper/1804/},
year = {2018}
}
```

```
TY - JOUR
TI - Determination of the Planet X Position and Estimation of its Gravitational Influence on the Solar System Bodies
AU - Medvedev, Yu. D.
AU - Vavilov, D. E.
AU - Bondarenko, Yu. S.
AU - Bulekbaev, D. A.
PY - 2018
T2 - Transactions of IAA RAS
IS - 44
SP - 97
AB - The authors of the paper [1] proposed that a planet with 10 earth’s
masses and an orbit of 700 a. u. semi major axis and 0.6 eccentricity
could explain the observed distribution of the Kuiper Belt objects
nearby Sedna. Then Fienga et al. [2] used the INPOP planetary
ephemeris model as a sensor for testing an additional body in the
solar system. They defined the planet position on the orbit using the
most sensitive data set — the Cassini radio ranging data. Here we
used near-parabolic comets for determination of the planet’s position
on the orbit. We made a search for the comets with low Minimum Orbit
Intersection Distances (MOID) from the planet’s orbit, assuming that
some comets had approached the planet in the past. Three “new” comets
with hyperbolic orbits were chosen from the list of 805 near-
parabolic ones. We considered both the direct and the inverse cases
of the planet’s motion. The true anomaly of the planet was in the
interval (176°, 182° ) in the case of the direct motion; thus, the
right ascension, the declination and the geocentric distance of the
planet were in the intervals (83°, 88°), [7°,10°], and (1116, 1119)
a. u., correspondingly. The true anomaly was in (216°, 224°) in the
case of the inverse motion; and all other values in that case were in
the intervals (48°, 55°), (–12°,–8°) and (800, 874) a. u. The true
anomaly for the inverse motion, υ, had to be transformed by 360°-v in
order to make a comparison with the direct motion case. It gave us
the interval (136°, 144°) which belonged to the intervals of the true
anomaly of the possible planet’s position given by [2]. The
improved position of the planet X made it possible to estimate its
gravitational perturbations on the motion of the bodies of the solar
system. Thus, perturbations from the planet X changed the orbital
period of the Halley's Comet by 3.2 s.
DO - 10.32876/ApplAstron.44.97-106
UR - http://iaaras.ru/en/library/paper/1804/
ER -
```