What is Raan in orbital mechanics?
What is Raan in orbital mechanics?
The Right Ascension of the Ascending Node (RAAN) is the longitude of the point where the spacecraft crosses the equatorial plane moving from south to north. The descending node is where the spacecraft drops through the equatorial plane, moving from the Northern Hemisphere to the Southern Hemisphere.
What is the J2 effect?
The term J2 comes from an infinite series mathematical equation that describes the perturbational effects of oblation on the gravity of a planet. The two main orbital elements affected by J2 Perturbations are the Right Ascension of the Ascending Node (Ω) and the Argument of Perigee (ω).
How do you calculate C3?
C3 is the characteristic energy, = −GM/2a, where a is the semi-major axis, which is infinite for parabolic trajectories.
How do I find my Raan?
Draw a line from the center of the earth to the point where our satellite crosses the equator (going from south to north). If this line points directly at the vernal equinox, then RAAN = 0 degrees. By convention, RAAN is a number in the range 0 to 360 degrees.
What is semi-major axis of orbit of Earth?
Semi-major and semi-minor axes of the planets’ orbits
| Eccentricity | Semi-major axis a (AU) | |
|---|---|---|
| Earth | 0.017 | 1.00000 |
| Mars | 0.093 | 1.52400 |
| Jupiter | 0.049 | 5.20440 |
| Saturn | 0.057 | 9.58260 |
How is Raan calculated?
This value denotes the point at which the satellite’s orbit plane crosses the Earth’s equatorial plane as the satellite crosses (ascends) from the southern to the northern hemisphere. Next, we can calculate the RAAN….
| Variable | Symbol | Value |
|---|---|---|
| Average Declination | dav | 45°.04611 |
| Orbit Inclination | i | 67°.13 |
What is C3 Orbital?
C3 is the Characteristic energy needed to get into an orbit relative to the energy of an object with exactly the escape velocity. It is twice the specific energy (J/kg) and has units of velocity squared. A negative C3 indicates less than escape velocity (typically of Earth).
How do you calculate the escape velocity of the Earth?
What is the Value of Escape Velocity of the Earth?
- The acceleration due to gravity (earth), g = 9.8 m/s2.
- The radius (earth), R = 6.4 × 106 m.
- The escape velocity (earth), ve = √2 × 9.8 × 6.4 × 106.
- Therefore, ve = 11.2 × 103 m/s = 11.186 km/s or 11.2 km/s (Approximately).
What is the formula for apogee?
This distance is called the perigee distance. We define the apogee as the opposite point along the semi-major axis. We define the distance from F1 to F2 as 2c….
| We have | ||
|---|---|---|
| da | = 2a2v*dv / (GM) | |
| 2ae | = r1 + r2 | |
| r2 | = ah | |
| So we want da to equal the difference of the radii of the two circles |
