The rate at which the emitted gases are returned to the spacecraft is known as the return flux. Theoretical models predicting the return flux do exist 1,2,3, however their power of predicting contamination is limited by large uncertainties in the models. Consequently, experiments potentially affected by contamination are often conservatively designed, and valuable time and resources may be unnecessarily wasted. The models have had only limited experimental testing4, and thus a more extensive evaluation is desirable to improve their accuracy for spacecraft applications.
The only possible way to perform experimental tests of the models is to conduct them in the upper atmosphere. It is very difficult to simulate in the laboratory the conditions experienced while in Earth’s orbit because of the high speeds at which space vehicles encounter ambient gases. Moreover, the presence of atomic oxygen as the major constituent and the rarefied gas environment in the upper atmosphere make tests on the ground impossible.
An experimental test of the return flux models was designed and the experiment flew on a sub-satellite of the Space Shuttle in January 1996. The experiment was called REFLEX, an acronym for return flux experiment. During this mission, a gas mixture of argon and krypton was released into the atmosphere from the satellite. A newly designed mass spectrometer on-board the satellite measured the amount and energy distribution of the returning gas that had undergone collisions and was reflected back towards the satellite. With detailed information about the energies of the returning gases, better tests of the models can be made. In addition to studying the return flux gases, the new mass spectrometer also offered the capability to directly measure the ambient atmosphere.
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Argon and krypton were selected as the released gas for several reasons. Argon and krypton are not virtually non-existent in the Earth’s upper atmosphere. Atoms, not molecules, were chosen so that the collisions could be approximated as hard spheres and energy from the collision was not taken up in vibrational states of a molecule. Also, argon and krypton are noble gases and thus, are not very chemically reactive which simplifies the data analysis. Two different gases were selected to have two data points at two different masses.


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Despite these complications, some information about the return flux
can be gathered by carefully observing and applying data correction to
low energy thermal gas signals. Figure 7 is a graph of the amount
of released argon, ambient oxygen, and ambient nitrogen having thermal
energies as measured by the instrument over time. As seen on the
graph, the ambient oxygen and nitrogen vary throughout the mission.
This oscillation is expected as the ambient atmospheric density increases
with daylight and decreases at nighttime (Figure 8). Careful inspection
of the data indicates that the returning thermal argon also shows an oscillation
that correlates to the oscillations in the ambient atmospheric density.
This observation indicates that the argon returning to the spacecraft is
due primarily to collisions with the ambient atmosphere and not to collisions
with other released argon atoms. This is an important result as it
helps to distinguish somewhat between the different return flux models.
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It can also be seen on figure 7 that the strength of the argon signal
abruptly changes periodically. This is explained by figure 9 in which
the vertical lines that overlay the data in figure 7 indicate a change
in the gas flow rate. As mentioned earlier, the flow rate of the
released gas varied from a high flow, a low flow and completely off.
Figure 10 also is an overlay of vertical lines on the data from figure
7. In this graph the vertical lines indicate different spacecraft
orientations. The spacecraft was supposed to be oriented directly
into the ram (ram is defined as “head-on” with the instrument opening pointing
parallel to the velocity vector), 45 degrees to the ram and 90 degrees
to the ram. However, there were difficulties with the spacecraft
orientation and these exact angles were never obtained. Spacecraft
orientation angles of approximately –11 degrees, +25 degrees and +71 degrees
were obtained. Figure 10 indicates that the amount of returning argon
varied with the angle of attack. This additional information of the
amount of returning gas, as attack angle varies, places additional restrictions
on the return flux models.
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A final analysis done with the data was to compare the ambient atmospheric density measured by the REFLEX instrument to the well-tested and very robust Mass Spectrometer and Incoherent Scatter Model (MSIS)7. This model was developed in 1980 and has been refined three times each time incorporating additional experimental data 8,9,10,11,12. Figure 11 is a graph of the ambient oxygen densities measured with the REFLEX mass spectrometer and the oxygen densities predicted by the MSIS model. Both lines indicated the same period of oscillation. It is also seen that the density measured by the REFLEX mass spectrometer is significantly lower than the density predicted by the MSIS model. As previously mentioned, there were several problems that occurred during the mission. One of the problems occurred when an unexpectedly large amount of a contaminant from the spacecraft caused the initial in-flight calibrations to be incorrect. This improper calibration caused the density measurements made by the REFLEX instrument to be much lower than they actually were.

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3Naumann, R. J., Contamination Assessment and Control in Scientific Satellites, NASA TN D-7433, (1973).
4Scalidone, J. J., Hedin, A. E., and Rice, C. J., Comparison of Satellite Self-Contamination Experiments and Scattering Return Flux Calculations, Jour. Geophys. Res., 83, A1, 195, (1978).
5Mattauch, J. and Herzog, R., Z Phys., 89, 796, (1934).
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11Hedin, A. E., MSIS-86 Thermospheric Model, Rev., Jour. Geophys. Res., 92, A5, 4649, (1987).
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