Aerospace and Electronic Systems Magazine February 2018 - 49
Ahmadi, Kosari, and Malaek
cal data to create the required relations, the relations could be used
which developed by Wertz [1]:
R=
Ai
Ao
Li ∼ RLo that L: Linear Dimensions
Si ∼ L2i that S : Surface Area
(11)
Sizing of the Cubesat Optical Payload using Scaling Method
Based on the DP, f
At first, the MDP, f is considered as the scaling criterion:
R=
(12)
fi
40
R=
R = 0.6
fo
70
R = 0.6 K = 1
(13)
Payload Mass:
M i = KR 3 M o M i = 1 × 0.63 × 277 M i = 60 grams
Vi ∼ L3i that V : Volume
(14)
M i ∼ KR 3 M o that M : Payload Mass
(15)
M i ≤ 1.5 Kg
Payload Power:
Pi = KR 3 Po Pi = 1 × 0.63 × 1,300 Pi = 281 mW
Pi ∼ KR 3 Po that P: Payload Consuming Power
(16)
Pi ≤ 1,800 mW
Payload size and volume:
If R < 0.5 then K = 2, otherwise K = 1.
In (11) Ai is the scaling criterion in the intended cubesat optical payload and Ao is the scaling criterion in the selected existing
instrument. Wertz has selected the MDP, D as the scaling criterion.
Generally, one of the MDPs, f, D, or H should be selected as
the criterion of scaling. The DDs could not be used as the scaling criterion because they are dimensionless ratios and may remain constant even if the MDPs (the numerator and denominator)
change.
Since sizing is the process of estimating mass, volume, power
consumption, and the cost of design, manufacturing, and operations of the space system and its subsystems, and in addition the
volume and mass of an optics depend significantly on the focal
length and the aperture [21], so the parameters, f and D are more
suitable to be selected as the scaling criterion. D is a parameter of
information and f is a parameter of matter as stated in step 6, so it
seems that at first the main parameter, f and then the main parameter, D could be used as the scaling criterion and finally the results
could be compared with each other.
At this stage, a passive optical sensor similar to the intended remote sensing cubesat payload which has been used in the cubesats
launched before must be selected. In order to select an appropriate
existing instrument, the following criteria should be considered:
Operating wavelength (λ);
C
GSD (at the same orbit altitude).
Therefore, none of the constraints including payload mass and
power consumption are violated.
Sizing of the Cubesat Optical Payload using Scaling Method
Based on the DP, D
In this stage, another MDP, D is considered as the scaling criterion:
R=
Di
16
R=
R = 0.5
Do
32
R = 0.5 K = 1
Payload Mass:
M i ≤ 1.5 Kg
Payload Power:
Pi = KR 3 Po Pi = 1 × 0.53 × 1,300 Pi = 162.5 mW
Pi ≤ 1,800 mW
In principle, the criteria of similarity should be selected based
on the instrument application domain.
NanoCam C1U with the technical specifications listed in [30]
is a suitable existing instrument which the size of the intended passive optical payload could be scaled based on its size.
FEBRUARY 2018
Vi = 57.6 × 54 × 34.8 mm3
M i = KR 3 M o M i = 1 × 0.53 × 277 M i = 35 grams
Selecting an Existing Instrument
C
Vi = R 3Vo Vi = (0.6 × 96) × (0.6 × 90) × (0.6 × 58)
Payload size and volume:
Vi = R 3Vo Vi = (0.5 × 96) × (0.5 × 90) × (0.5 × 58)
Vi = 48 × 45 × 29 mm3
IEEE A&E SYSTEMS MAGAZINE
49
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