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# Trilateration and Keplerian elements

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# Trilateration and Keplerian elements

In this ppt, you will easily understand Trilateration and Keplerian elements

In this ppt, you will easily understand Trilateration and Keplerian elements

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### Trilateration and Keplerian elements

1. 1. CO-4 SUMMARY
2. 2. TRILATERATION It can be defined by a process used by GPS in determining the location of points by measurements of distance using geometry of circles, sphere or triangles
3. 3. TRILATERATION Satellite A Satellite B Satellite C
4. 4. Orbital dynamics 𝐹 = − 𝐺𝑀𝑚 𝑟2 𝑟 𝑟 M𝑟E = 𝐺𝑀𝑚 𝑟3 𝑟 m𝑟s = 𝐺𝑀𝑚 𝑟3 𝑟 𝑟 + 𝐺 (𝑀 + 𝑚) 𝑟3 = 0 𝑟 + 𝐺𝑀 𝑟3 = 0
5. 5. Elliptical specifications Major axis Minor axis Perigee Apogee Earth Semi-minor axis (b) Semi-minor axis (b)
6. 6. Elliptical specifications Perigee Apogee Earth rp ra rp = Perigee length ra= Apogee length
7. 7. Equatorial plane Vernal equinox Orbital plane Elliptical specifications Satellite
8. 8. Ascending Node Elliptical specifications Inclination Satellite True anomaly Argument of perigee
9. 9. TAKE AWAY ⅇ = 𝑟𝑎 − 𝑟𝑝 𝑟𝑎 + 𝑟𝑝 r 𝑟𝑏 = 𝑎 1 − 𝑒 𝑟𝑎 = 𝑎 1 + ⅇ 𝑎 = 𝑟a + 𝑟𝑏 2 𝑟 = 𝑎 1 − 𝑒2 1 + ⅇ cos 𝜃 ⅇ = a2 − 𝑏2 a2 𝑓 = 𝑎 − 𝑏 𝑏 𝑏 = 𝑟𝑎 − 𝑟𝑏 2