Attachment TT&C Rad Haz

This document pretains to SES-LIC-20190405-00453 for License on a Satellite Earth Station filing.

IBFS_SESLIC2019040500453_1643353

                                 Radiation Hazard Analysis
                                      TT&C Earth Station

Introduction

This analysis calculates the non-ionizing radiation levels for a SpaceX Services, Inc. (“SpaceX
Services”) earth station that will perform telemetry, tracking, and command functions for
SpaceX’s non-geostationary orbit satellite system (“TT&C terminal”). The calculations
performed in this analysis comply with the methods described in FCC Office of Engineering and
Technology Bulletin, Number 65 (Edition 97-01) (“Bulletin 65”). This analysis demonstrates that
SpaceX Services TT&C terminal is generally compliant and will not result in exposure levels
exceeding the applicable radiation hazard limits, and any radiation hazard that may exist will be
mitigated by limited access and various protocols to ensure safe exposure levels.

Bulletin 65 and Section 1.1310 of the Commission's rules specify two separate tiers of exposure
limits: one for Occupational/Controlled Exposures and one for General Population/Uncontrolled
Exposures. Limits for Occupational/Controlled Exposures apply in situations where persons are
exposed as a consequence of their employment and are fully aware of and can control their
exposure. These limits also apply in situations where a person is transient through a location where
such limits would otherwise apply provided the person is made aware of the potential for exposure.
The limits for General Population/Uncontrolled Exposure apply in situations in which the general
public may be exposed, or in which persons that are exposed as a consequence of their employment
may not be fully aware of the potential for exposure or cannot exercise control over their exposure.
SpaceX Services will deploy its TT&C terminal in an Occupational/Controlled Exposures
Environment. Accordingly, this analysis discusses only the Maximum Permissible Exposure
(“MPE”) limit for those types of exposures, which for the Ku-band frequencies used by this TT&C
terminal is a power density equal to 5 mW/cm2 averaged over a six-minute period. 1

As described in the definitional section below, this report analyzes the maximum power density
levels in the vicinity of a TT&C terminal antenna in four regions: (1) the far field, (2) the near
field, (3) near the main reflector surface, and (4) between the main reflector and the feed mouth.
These radiation regions were analyzed using the definitions and formulas in Bulletin 65 for
aperture antennas. The results of this analysis are summarized in Table 1, which identifies the
potential exposure under worst-case operating conditions.

TT&C Terminal Description

The TT&C terminal is a five-meter parabolic dish capable of steering its beams to track NGSO
satellites passing within its field of view. At the antenna flange, the maximum transmit power is
38.9W. Although unlikely in practice, for purposes of this analysis we have conservatively
assumed that the TT&C terminal can transmit at 100% duty cycle.




1
    See 47 C.F.R. § 1.1310(e).

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Explanation of the Analysis

The “Calculated Values” in Table 1 are the exposure rates calculated using the formulae from
Bulletin 65 for a system with continuous (100% transmit duty cycle) transmission.

Results of Analysis

This analysis demonstrates that the SpaceX Services TT&C terminal is not a radiation hazard
because the terminal does not generally exceed the MPE limit of 5 mW/cm2 averaged over a six-
minute period. This TT&C terminal will be located in an area clearly marked with Radiation
Hazard signage with no access by the general public. Only around the feed mouth are the relevant
radiation levels exceeded. This measurement is taken at a point between the feed and the sub-
reflector. Power to the transmitters will be turned off remotely whenever work needs to be
performed in this region. Signage will mark the area for Radiation Hazard and access by qualified
personnel only, ensuring awareness and enhancing safety. Consequently, there is no risk of
radiation exposure beyond the acceptable limits.


Conclusion

This radiation hazard analysis demonstrates that the SpaceX Services TT&C terminal will not
result in unacceptable radiation exposure levels.


.




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Definitions

1) Far Field Region

The far field region extends outward from the antenna surface, beginning at a distance of
0.6𝐷𝐷 2
     meters where the D is the diameter of the antenna. The maximum power density is calculated
  πœ†πœ†
using the equation recommended in Bulletin 65.

2) Near Field Region

The near field region is a volume co-incident with the direction of the main beam extending
                                                              𝐷𝐷 2
outward from the antenna surface the length of the near field 4πœ†πœ† meters.

3) Transition Region

The transition region is located between the near field region and the far field region. This region
has a power density that decreases with increasing distance. Therefore, the power density in the
transition region will be less than the maximum power density in the near field and more than the
maximum power density in the far field for the purpose of evaluating potential exposure.

4) Region Near the Antenna Surface

The power density near the antenna surface can be estimated as equal to four times the power
divided by the area of the main reflector surface (main reflector illumination is uniform).

5) Region between the Main Reflector and the Feed

The power radiated from the feed toward the reflector is conical in shape with the vertex at the
feed. The maximum power is at the feed mouth and can be estimated as four times the transmit
power divided by the area of the feed mouth.




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    TABLE 1: RADIATION FROM SPACEX SERVICES FIXED TT&C EARTH STATION

Input Parameters
Antenna Diameter                                                          D=5m

Frequency                                                               f = 14 GHz

Diameter of Feed Mouth                                                 Dfeed = 12 cm

Max Power into Antenna                                             Pmax = 15.9dBW

Aperture efficiency [%]                                                   η = 59%

Maximum Transmit Duty Cycle                                            DTx = 100 %


Calculated Values
                                                                          𝑐𝑐
Wavelength                                                      πœ†πœ† =         = 0.0214 π‘šπ‘š
                                                                          𝑓𝑓
                                                                       πœ‹πœ‹π·π·2
Area of Reflector                                             𝐴𝐴 =           = 19.63 π‘šπ‘š2
                                                                         4
                                                                            2
                                                                       πœ‹πœ‹π·π·π‘“π‘“π‘“π‘“π‘“π‘“π‘“π‘“
Area of Feed Mouth                                      𝐴𝐴𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓 =                = 0.0113 π‘šπ‘š2
                                                                           4

                                                                   πœ‚πœ‚4πœ‹πœ‹πœ‹πœ‹
Antenna Gain                                              πΊπΊπ‘šπ‘šπ‘šπ‘šπ‘šπ‘š =         = 316,496.3
                                                                      πœ†πœ†2
                                                            10 log(πΊπΊπ‘šπ‘šπ‘šπ‘šπ‘šπ‘š ) = 55.0 𝑑𝑑𝑑𝑑𝑑𝑑

                                                                          𝐷𝐷2
Length of Near Field                                         𝑅𝑅𝑛𝑛𝑛𝑛 =         = 291.67 π‘šπ‘š
                                                                          4πœ†πœ†
                                                                            𝐷𝐷2
Beginning of Far Field                                     𝑅𝑅𝑓𝑓𝑓𝑓 = 0.6         = 700.00 π‘šπ‘š
                                                                             πœ†πœ†


Power Density Calculations
Power Density in Far Field                                              π‘ƒπ‘ƒπ‘šπ‘šπ‘šπ‘šπ‘šπ‘š πΊπΊπ‘šπ‘šπ‘šπ‘šπ‘šπ‘š        π‘šπ‘šπ‘šπ‘š
                                                     𝑆𝑆𝑓𝑓𝑓𝑓 = 𝐷𝐷𝐷𝐷𝐷𝐷               2      = 0.20
                                                                           4πœ‹πœ‹π‘…π‘…π‘“π‘“π‘“π‘“             𝑐𝑐𝑐𝑐2

Power Density in Near Field                                               4πœ‚πœ‚πœ‚πœ‚π‘šπ‘šπ‘šπ‘šπ‘šπ‘š        π‘šπ‘šπ‘šπ‘š
                                                       𝑆𝑆𝑛𝑛𝑛𝑛 = 𝐷𝐷𝐷𝐷𝐷𝐷                = 0.47
                                                                             𝐴𝐴              𝑐𝑐𝑐𝑐2
                                                                           4π‘ƒπ‘ƒπ‘šπ‘šπ‘šπ‘šπ‘šπ‘š        π‘šπ‘šπ‘šπ‘š
Power Density at Antenna Surface (Main Reflector)      π‘†π‘†π‘Ÿπ‘Ÿπ‘Ÿπ‘Ÿπ‘Ÿπ‘Ÿ = 𝐷𝐷𝐷𝐷𝐷𝐷             = 0.79
                                                                              𝐴𝐴            𝑐𝑐𝑐𝑐2
                                                                          4π‘ƒπ‘ƒπ‘šπ‘šπ‘šπ‘šπ‘šπ‘š            π‘šπ‘šπ‘šπ‘š
Power Density at Feed Mouth                         𝑆𝑆𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓 = 𝐷𝐷𝐷𝐷𝐷𝐷              = 1375.97
                                                                          𝐴𝐴𝑓𝑓𝑓𝑓𝑓𝑓𝑓𝑓           𝑐𝑐𝑐𝑐2




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Document Created: 2019-04-20 00:29:41
Document Modified: 2019-04-20 00:29:41

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