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A satellite is any object in orbital motion. Natural satellites are those objects that were not sent into space by humans. An artificial satellite or spacecraft is a machine sent into space by humans. Time is a fundamental parameter in the analysis of orbits. As humans improved their ability to measure time, they noticed that the time of day as measured by a 42 2 Keplerian Motion Fig. 13 Variations in the length of a day 15 MINUTES SLOW 10 5 0 JAN JULY DEC 5 10 15 MINUTES FAST A Sun al 1 Sidere day 1 Solar day A A Fig.

Therefore, the relative position r travels through a conic section orbit. QED There are four conic sections: circle, ellipse, parabola, and hyperbola. Conic Equation: h2 =μ 1 þ ecosθ À 2 Á h =μ ¼ r at θ ¼ 0 deg ¼ 1þe r¼ rmin ð2:11Þ Therefore, e is parallel to the direction of r that has the minimum magnitude of r. 1. : The angle θ between the position vector r and the eccentricity vector e is known as the true anomaly. ” Hence, the angle θ is an anomaly. An Application: Methods of Detecting Extrasolar Planets Scientists have studied the motion of stars to detect the existence of planets outside of the solar system.

Each time Tana threw the ball I drew the path in Fig. 11 on the board in the classroom. Tana put on her glove and walked to the other side of the building and caught the ball. She threw the ball again still harder so that the ball traveled higher than the last time. But eventually the force of gravity pulled the ball down as it moved around the earth. It moved in an ellipse until it arrived back where Tana caught it. ” Throwing the ball still harder sent it on another path called a “hyperbola,” which I drew on the board, as shown in Fig.

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