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184   Introduction to Space Sciences and Spacecraft Applications
                      decrease internal or even local temperatures. Refrigeration devices, heat
                      pumps, and heat pipes are examples of active spacecraft thermal control
                      systems. These devices have the ability to more precisely control space-
                      craft temperatures, but their disadvantage is their increased weight and
                      complexity. Special thermal systems, such as cryogenic coolers, are usu-
                      ally accounted for as unique payload support systems. Thermal subsystem
                      mass is usually estimated as a percentage of spacecraft dry mass, typical-
                      ly 2-5%  for passive systems and 48% for active systems.

                      Orbital Maintenance Subsystem

                        This subsystem design determines the amount of propellant needed to
                      keep the satellite in the desired orbit over the specified mission lifetime.
                      Atmospheric density causes drag and is the primary force that will cause
                      many spacecraft to lose altitude. Atmospheric density is a function of the
                      solar environment, which can vary widely as a function of the expected
                      solar cycle activity, and satellite altitude, as shown in Table 8-7. The final
                      orbit altitude and mission timeline is used to select the appropriate value
                      of atmospheric density. The satellite ballistic cross-section, which is the
                      cross-sectional area of the satellite in the direction of flight, determines
                      the amount of drag. A mission duration Av is calculated to determine the
                      total propellant needed to maintain the orbit. The amount of propellant



                                                   Table 8-7
                                              Atmospheric Density

                                                Expected Solar Cycle Activity (kg/m2)
                      Altitude
                       (km)              Low                Average              High
                         1 00            9.8E-09             9.8E-09            9.8E-09
                         200            1.95E-  10           2.7E-10           3.45E-10
                         300              8E- 12            2.23E-  1 1        3.658-11
                         400            1.04E- 12           4.77E-12            8.5E-12
                         500            1.21E- 13           1.05E- 12           1.98E-12
                         600            2.45E- 14          3.12D- 13              6E- 13
                         700             7.1E-15             9.3E-14             1.8E-13
                         800             3.4E- 15            3.4E-14            6.4E-14
                         900              2E-15              1.4E-14            2.5E-14
                       1,000             1.3E-15             6.7E-15             1.2E-14
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