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## Two-dimensional Annuli of the Main Asteroid Belt and Trans-Neptunian Objects and Their Influence on the Motion of Planets

Transactions of IAA RAS, issue 43, 113–121 (2017)

Keywords: Solar system, planet ephemerides, radar ranging observations, masses of asteroid main belt and Kuiper belt, ninth planet

### Abstract

The solar system has a complex structure that includes large bodies and many small bodies moving in a common gravitational field. Our simultaneous integration for the construction of modern ephemerides includes equations of motion of the Sun, the planets, the Moon, large asteroids, and trans-neptunian objects (TNOs). However it is necessary also to take into account perturbations of smaller bodies in order to obtain high-precision ephemerides. The influence of these bodies is modeled by perturbations from two two-dimensional rings lying in the plane of the ecliptic: the annulus of the Main belt of asteroids having radii R1 = 2.08 au and R2 = 3.27 au determined by the orbital resonances with Jupiter 4:1 and 2:1, and the annulus of the Kuiper belt having radii 39.4 au and 47.8 au according to orbital resonances with Neptune 3:2 and 2:1. The masses of both annuli are determined from the analysis of the motion of the planets by radio ranging data of spacecraft for different planets. The influence of the TNOs on the motion of the planets has been estimated. It is shown that the perturbation of the Kuiper belt exceeds the gravitational influence of the 9-th hypothetical remote (further 550 au) planet; that must be taken into account searching for the 9th planet. The position of the barycenter of the Solar system has been checked and its drift is below 30 microns/century.

### Citation

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E. V. Pitjeva, N. P. Pitjev, D. A. Pavlov, M. A. Bodunova. Two-dimensional Annuli of the Main Asteroid Belt and Trans-Neptunian Objects and Their Influence on the Motion of Planets // Transactions of IAA RAS. — 2017. — Issue 43. — P. 113–121. @article{pitjeva2017, abstract = {The solar system has a complex structure that includes large bodies and many small bodies moving in a common gravitational field. Our simultaneous integration for the construction of modern ephemerides includes equations of motion of the Sun, the planets, the Moon, large asteroids, and trans-neptunian objects (TNOs). However it is necessary also to take into account perturbations of smaller bodies in order to obtain high-precision ephemerides. The influence of these bodies is modeled by perturbations from two two-dimensional rings lying in the plane of the ecliptic: the annulus of the Main belt of asteroids having radii R1 = 2.08 au and R2 = 3.27 au determined by the orbital resonances with Jupiter 4:1 and 2:1, and the annulus of the Kuiper belt having radii 39.4 au and 47.8 au according to orbital resonances with Neptune 3:2 and 2:1. The masses of both annuli are determined from the analysis of the motion of the planets by radio ranging data of spacecraft for different planets. The influence of the TNOs on the motion of the planets has been estimated. It is shown that the perturbation of the Kuiper belt exceeds the gravitational influence of the 9-th hypothetical remote (further 550 au) planet; that must be taken into account searching for the 9th planet. The position of the barycenter of the Solar system has been checked and its drift is below 30 microns/century.}, author = {E.~V. Pitjeva and N.~P. Pitjev and D.~A. Pavlov and M.~A. Bodunova}, issue = {43}, journal = {Transactions of IAA RAS}, keyword = {Solar system, planet ephemerides, radar ranging observations, masses of asteroid main belt and Kuiper belt, ninth planet}, pages = {113--121}, title = {Two-dimensional Annuli of the Main Asteroid Belt and Trans-Neptunian Objects and Their Influence on the Motion of Planets}, url = {http://iaaras.ru/en/library/paper/1771/}, year = {2017} } TY - JOUR TI - Two-dimensional Annuli of the Main Asteroid Belt and Trans-Neptunian Objects and Their Influence on the Motion of Planets AU - Pitjeva, E. V. AU - Pitjev, N. P. AU - Pavlov, D. A. AU - Bodunova, M. A. PY - 2017 T2 - Transactions of IAA RAS IS - 43 SP - 113 AB - The solar system has a complex structure that includes large bodies and many small bodies moving in a common gravitational field. Our simultaneous integration for the construction of modern ephemerides includes equations of motion of the Sun, the planets, the Moon, large asteroids, and trans-neptunian objects (TNOs). However it is necessary also to take into account perturbations of smaller bodies in order to obtain high-precision ephemerides. The influence of these bodies is modeled by perturbations from two two-dimensional rings lying in the plane of the ecliptic: the annulus of the Main belt of asteroids having radii R1 = 2.08 au and R2 = 3.27 au determined by the orbital resonances with Jupiter 4:1 and 2:1, and the annulus of the Kuiper belt having radii 39.4 au and 47.8 au according to orbital resonances with Neptune 3:2 and 2:1. The masses of both annuli are determined from the analysis of the motion of the planets by radio ranging data of spacecraft for different planets. The influence of the TNOs on the motion of the planets has been estimated. It is shown that the perturbation of the Kuiper belt exceeds the gravitational influence of the 9-th hypothetical remote (further 550 au) planet; that must be taken into account searching for the 9th planet. The position of the barycenter of the Solar system has been checked and its drift is below 30 microns/century. UR - http://iaaras.ru/en/library/paper/1771/ ER -