Author 1: Emelyanenko N.Yu., Institute of Astronomy of the RASI

Title: Jupiter Family Comets and Asteroids with High Tisserand Parameter Values

Abstracts: The boundary values of semi-major axes and eccentricities of orbits for small bodies with high Tisserand parameter values relative to the planets of the Solar System have been determined. Small bodies from various regions, including objects with highly eccentric orbits, were considered. Such orbits intersect those of the giant planets. An analysis of the intersection regions was carried out. Examples of real small bodies from these regions are provided.

Author 2: Klyuykov A. A., Institute of Astronomy of the RASI

Title: Mathematical Data Processing of the Star Camera in the GOCE Project

Abstracts:  The goal of the GOCE project is to obtain a high-degree, high-precision model of Earth’s gravitational field. This goal is achieved through the mathematical processing of data from onboard sensor systems: the electrostatic satellite gradiometer, the satellite navigation system, and the star cameras. Data from the electrostatic satellite gradiometer are used to calculate the components of the gravitational potential tensor.

Data from the satellite navigation system enable the determination of the satellite’s orbit with an accuracy of 1–3 cm, as well as the calculation of spherical harmonic coefficients for the Earth’s gravitational field model in the low-frequency part of the gravitational field spectrum. Data from the star cameras provide the transformation matrix from the inertial coordinate system to the star camera coordinate system, as well as the angular velocity values of the gradiometer coordinate system relative to the inertial coordinate system, which are used to compute level 1b gravitational potential tensor components.