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

1. CO-4 SUMMARY

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. TRILATERATION
Satellite A
Satellite B
Satellite C

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. Elliptical specifications
Major
axis
Minor axis
Perigee Apogee
Earth
Semi-minor axis (b)
Semi-minor axis (b)

6. Elliptical specifications
Perigee Apogee
Earth
rp ra
rp = Perigee length
ra= Apogee length

7. Equatorial plane
Vernal equinox
Orbital plane
Elliptical specifications
Satellite

8. Ascending Node
Elliptical specifications
Inclination
Satellite
True anomaly
Argument of perigee

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