This paper deals with the analysis of data from the omnidirectional high‐energy proton detector on the Telstar® 1 satellite. The main accomplishment is the development of relatively simple (empirical) mathematical models which give a statistically accurate representation of the measured spatial distribution of intensity of protons with energies between 50 and 130 MeV.
These models depend upon the fitting of 8 (or 9 or 10) coefficients based on samples containing approximately 1000 of the nearly 80,000 experimental observations. The nature of the model for the average omnidirectional counting rate permits its closed form transformation to the equivalent equatorial pitch angle distribution.
Sufficiently accurate fits were achieved so that the residuals (equal to observed minus fitted) could be productively examined for possible dependence on variables other than the two magnetic coordinates used in the fitting. One consequence of this was the detection of instrumental susceptibility to temperature and bias voltage changes, which led to an objective partitioning of the data.
The present paper has several evolutionary aspects: In particular, a series of one‐dimensional fits was employed as a base for developing a two‐dimensional model; a preliminary analysis of all the data was used to guide the rejection of outliers; a first two‐dimensional fit to all the data
led to a data‐independent basis for partitioning the data; the mode of selection of a sample of data, to which the two‐dimensional model was fitted, changed as deeper insight into the importance of this issue developed; and, after a very satisfactory fit to the data was attained, the model was improved by specialization and reparameterization so as to overcome some statistical defects and to achieve greater physical meaning.
The data cover the time period between July 1962 and February 1963, and the spatial region bounded by 1.09 Re ≦ R ≦ 1.95 Re and 0 ≦ Λ < 58°. Flux maps having a relative accuracy of about two percent are derived from the fit and presented. The temporal behavior of the intensity is examined and some changes are noted. The maximum value of the omnidirectional flux of protons with energies between 50 and 130 MeV is found to be [5.7+1.4‐2.8] × 103 protons/cm2 sec at L = 1.46 on the magnetic equator, in good agreement with other experiments. Relative flux values and energy spectra are consistent with the generally accepted picture of the proton distribution.