I2S - Lecture 4-5 Flashcards
State Kepler’s laws of Planetary Motion
- Law = each planet’s orbit about the Sun is an ellipse. The Sun’s center is always located at one focus of the orbital ellipse.
- Law = the imaginary line joining a planet and the Sun sweeps equal areas of space during equal time intervals as the planet orbits.
- Law = the squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of their orbits. Kepler’s Third Law implies that the period for a planet to orbit the Sun increases rapidly with the radius of its orbit.
https://science.nasa.gov/resource/orbits-and-keplers-laws/
How changes the total energy of an object in an orbit?
The total energy is always constant, sum of potential energy (gravitation, bigger the further away) and kintetic energy (velocity)
What are the six orbital elements?
- Semi-major axis (a), orbit size
- Eccentricity (e), orbit shape
- Inclination (i), between orbit plane and plane of reference
- Right Ascension of Ascending Node (RAAN), angle between reference direction and ascending node
- Argument of periapsis (w), angle between plane of reference and orbit plane
- True anomaly (v), angle between periapsis and location of body
What reference point is mostly used for Earth?
First Point of Aries (Vernal point), was orignally in the constellation Aries, till it moved due precession of Earth’s axis. It is shared by the equatorial and elliptical coordinate system and is used to specify the direction of the x-axis
When and what are the nodes called, when sun and earth are in line towards the first point of aries?
Vernal equinox: March 21
Autumnal equinox: September 23 (Ascending Pov Earth)
State the reference frames, depending on the origin point of the coordinate system
- Heliocentric (Origin in the center of the sun)
- Geocentric (Origin in the center of the Earth)
- Topocentric (Origin in the observation point)
What is the Ground Track?
A ground track or ground trace is the path on the surface of a planet directly below a satellite’s trajectory
What are GSO and GEO?
- GSO = Geosynchronous orbits = circular orbits with a period of 24 hours
- GEO = Geostationary orbit = a GSO with i=0, therefore it hang motionsless above one position and are ideal for some types of communications and meteorological satelllites
What is the approximate orbital period for objects in LEO?
Approx. 90min (260km) up to 105min (1000km)
What are the Footprint and Access Area?
(Satellite)
- Access Area = Area that a given instrument could potentially see at a given moment
- Footprint Area = Area that the instrument sees at a given moment
What is HEO, which orbits of it are common for satellites and why should one use them?
- HEO = highly elliptcal orbit
- Molniya / Tundra Orbit
- Due its elliptical form, it stays for long time of its orbital period over specific areas of earth
What does the Tsiolkovsky equation do?
(Rocket equation)
It relates the delta v (max change of velocity) with the effictive exhaust velocity c_e, initial mass m_0, and final mass m_f of a rocket
What is a fuel efficient way to transfer between orbits?
Hohmann transfer, elliptical transfer orbit tangent to the initial and final orbits
Where does the s/c velocity change for plane change ( a = const)?
If we want to change only the orbits’s inclination or RAAN, we must change the velocity at either the ascending node or the descending node
Where in an elliptical orbit, should a orbit-change maneuver happen?
In an elliptical orbit, the maneuver should take place at the apoapsis where velocity is at his minimum
What is a rendevous?
This maneuver is used to let s/c meet with another one (same orbit and same place/time)
What is the bi-elliptical transfer?
It consists of two half-elliptic orbits. First burn expends delta-v into a transfer orbit with expanded semi-major axis, second burn at the apoapsis sends the s/c at the desired radius. 3rd burn injects the s/c into the desired orbit