The purpose of this paper is to extend the study of the so called p-q resonant orbits of the planar restricted three-body problem to the spatial case. The p-q resonant orbits are solutions of the restricted three-body problem which have consecutive close encounters with the smaller primary. If E, M and P denote the larger primary, the smaller one and the infinitesimal body, respectively, then p...

This paper presents a study of periodic orbits in the restricted three-body problem in which the small mass passesclose to each of the large masses. The orbits are classified according to the types of motion involved and methodsare given for estimating initial conditions for the various classes of orbit. Some sample orbits, as determined bya digital computer, are presented. U. 5. GO...

three-dimensional position measurements by global positioning system (gps) provide purely geometrical estimate of low earth orbiters (leos) positions. it provides uninterrupted tracking of the leos in three spatial dimensions or the so-called kinematic orbit. this solution relies heavily on the observations. high frequency observation noise, outlying observations and low redundancy number of me...

Open source software tools have been gaining acceptance in the astrodynamics community for some applications, though heritage tools still dominate precision orbit determination and propagation. This paper examines recent tide modeling improvements in the open source Orbit Extrapolation Toolkit (Orekit) and compares it with the US Naval Research Laboratory’s (NRL) heritage Orbit Covariance Estim...

In this paper, we study the requirements on orbit determination compatible with operation of next generation space clocks at their expected uncertainty. Using the ACES (Atomic Clock Ensemble in Space) mission as an example, we develop a relativistic model for time and frequency transfer to investigate the effects of orbit determination errors. We show that, for the considered orbit error models...

At the Flight Dynamics Division of the European Space Operations Centre (ESOC), routine operational orbit determination, prediction and control for ERS-1 and ERS-2 have been running consistently for many years now. The orbits produced on a daily basis are used for planning of ground track and inclination maintenance manoeuvres, for satellite operations (command parameters for the satellite’s At...

The proposed approach aims to develop a new method of forming and processing of multiple hypotheses for initial orbit determination using optical observations. This method allows us to generalize the existing 2-dimensional flat constrained admissible region (CAR) to a unique 3-dimensional (3D) manifold of points corresponding to the pairs of observed right ascension and declination. Another adv...

Yun Qing 1, Yidong Lou 1,*, Yang Liu 1,*, Xiaolei Dai 1 and Yi Cai 2 1 GNSS Research Center, Wuhan University, 129 Luoyu Road, Wuhan 430079, China; [email protected] (Y.Q.); [email protected] (X.D.) 2 CHINA R&D ACADEMY OF MACHINERY EQUIPMENT, Beijing 100089, China; [email protected] * Correspondence: [email protected] (Y.L.); [email protected] (Y.L.); Tel.: +86-027-6877-8595 (Y.L.); +86-027-6877-7...