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satellites travel around the earth in an elliptical path Earth at a foci

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The line sweep from earth to a satellite will be equal areas during equal time periods anywhere on the orbit path.

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Orbital Period (T) is related to its semi major axis

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-a closed path around which a satellite travels, ellispses

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Two describe the shape and size of the orbit
three describe the the orientation of the orbit in space
One describes the location of the satellite within the orbit
plus a time stamp

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describes the roundness
a- semi major axis
b-semi minor axis
when (e)=0, orbit is circular
when (e) approaches 1 orbit is highly elliptical
all closed orbits are 0<e<1
(e) is always between 0 and 1 for any closed orbit

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(a)-describes the size of the ellipse
- half of the largest diameter
- originates from the, not necessarily where the central body is
Apogee- orbit point farthest from the earth
Perigee-orbit point closest from the earth
In a circle apogee and perigee are the same so both are undefined
Earth Radius- 6,378 km
The only parameter that determines period(T)
Gravitational Constant = 6.67x10^-11m^3/kg*s^2
Mass of Central Body (Earth)-M-5.98x10^24kg
PI=3.14
Only parameter that determines period (T)

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angle between earth's equatorial place and the plane of the orbit describes the tilt (pitch)
Measure in degrees
i-0º is is called equatorial orbit
i-90º is called polar orbit

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given ground chase , period and inclination can be found
top or bottom degree= inclination
the trace gap - way to determine the orbit period
4 mins per degree
gap degrees *4 =period (T)

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describes the orientation of the apogee and the perigee (roll)
angle from the ascending node to the perigee point
measure in degrees 0<w<359
only exist if perigee exists

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once orbit is completely described satellite's location on that orbit measured in degrees
perigee=0º
apogee=180º
measured in the direction the satellite moves

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RAAN , Omega
the rotation or twist about the earth (yaw)
angle measured along equatorial point in space (vernal equinox) and the point where the motion is from south to north across the equator (ascending node)
measured in degrees
ascending - from south to north (up)
Omega-0 when ascending node is aligned with vernal equinox

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describes WHEN the set of values accurate for the satellite (snapshot)