#TITLE_ALTERNATIVE#

• Main Author: ZAKA NAUFAL (NIM : 10313012), FAISHAL
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/27105
• Institution: Institut Teknologi Bandung

Many methods have been applied to calculate orbital elements of celestial objects derived from observational data. One of the recently proposed methods is semi-definite programming (SDP), which is one of the implementation of convex optimization. SDP method is applied to search for a solution of general ellipse under some constraints. For a closed orbit, the constraint is the Kepler's second law. Application of the SDP method in determining orbit of celestial object offers many advantages although it needs precise formulations and more <br /> <br /> computationally demanding. Purpose of this study is to determine coeficients of the projected ellipse of <br /> <br /> asteroid orbit in the ecliptic, from which the coeficients are taken for deriving preliminary orbital elements of the true asteroid orbit. Data used in this study is provided by SDSS Moving Object Catalog (SDSSMOC) version 3. The data shoud be extracted in order to get initial condition, for which is the input of SDP program code. Initial condition implemented in this work was downloaded from the Horizons NASA website. The selected objects are asteroids 2000 NV15, 2001 QS96, 2005 UR131, and 2005 UV108, because the data are spread over more than one quadrant. The four asteroids have small eccentricities and inclinations. Preliminary orbital elements of the true asteroid orbits revealed from limited data (number and time interval) are actually close to those of the Horizons NASA which are <br /> <br /> derived from plenty of data observations along a decade. The SDP method can also be applied to determine orbital elements of binary stars, exoplanets, or satellites.