PAYLOAD LAUNCH EQUATIONS


We will be operating from Spaceport America in southern New Mexico, USA.

LAUNCH SITE LATITUDE: 33.0o

=<<>>=

ORBITAL INCLINATION = 33.0o

Equation
PAYLOAD = –6.044 x ORBITAL ALTITUDE + 33568

Example
LOW ORBIT = 200 km

PAYLOAD = –6.044 x ORBITAL ALTITUDE + 33568
PAYLOAD = –6.044 x 200 + 33568
PAYLOAD = 32,359 kg

Example
HIGH ORBIT = 1,000 km

PAYLOAD = –6.044 x ORBITAL ALTITUDE + 33568
PAYLOAD = –6.044 x 1000 + 33568
PAYLOAD = 27,524 kg

Example
STANDARD ORBIT = 901 km

PAYLOAD = –6.044 x ORBITAL ALTITUDE + 33568
PAYLOAD = –6.044 x 901 + 33568
PAYLOAD = 28,122 kg
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Our blueprint calls for a 60degree orbital inclination, requiring the VentureStar RRV to make a 27degree turn to the south. This turn results in less payload reaching orbit. Therefore, the calculations change as well.

ORBITAL INCLINATION = 60.0o

Equation
PAYLOAD = –5.864 x ORBITAL ALTITUDE + 26286

Example
LOW ORBIT = 200 km

PAYLOAD = –5.864 x ORBITAL ALTITUDE + 26286
PAYLOAD = –5.864 x 200 + 28286
PAYLOAD = 25,113 kg

Example
HIGH ORBIT = 1,000 km

PAYLOAD = –5.864 x ORBITAL ALTITUDE + 26286
PAYLOAD = –5.864 x 1000 + 26286
PAYLOAD = 20,422 kg

Example
STANDARD ORBIT = 901 km

PAYLOAD = –5.864 x ORBITAL ALTITUDE + 26286
PAYLOAD = –5.864 x 901 + 26286
PAYLOAD = 21,003 kg

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Graph 1 represents the payload capability of the VentureStar operating from Spaceport America. The endpoints range from 200 km to 1,000 km orbital altitude. Standard Orbit from a 33-degree launch site to a 60-degree orbital inclination at an altitude of 901 km yields a payload capability of 21,003 kg.
Graph 1: 33 Degree Latitude Launch Site payload capability


Since we are lifting a lighter load into space, our GLOW has correspondingly changed:

Gross Mass
GROSS MASS = PROPELLANT MASS + EMPTY MASS + STANDARD PAYLOAD MASS
GROSS MASS = 1100206 + 112012 + 21003
GROSS MASS 1,233,221 kg

Gross Liftoff Weight
GLOW = g0(GROSS MASS)
CEO GLOW =  9.80665(133221)
CEO GLOW = 12,093,766 N

Therefore, the new VentureStar ThrusttoWeight Ratio is:

NEW THRUST–TOWEIGHT RATIO = (TOTAL THRUST / GLOW) : 1
NEW THRUST–TOWEIGHT RATIO = (13419000 / 12093766) : 1
TNEW HRUST–TOWEIGHT RATIO = 1.10958 : 1

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