A satellite communications fleet operator classifies custom transponder payloads into thre… — GMAT

A satellite communications fleet operator classifies custom transponder payloads into three orbital deployment categories (Category 1, Category 2, and Category 3) based on two operational metrics: Peak Power Consumption (in kW) and Frequency Bandwidth (in GHz).

Classification Rules:
- Category 1: Frequency Bandwidth must exceed $10\text{ GHz}$ , and Peak Power Consumption must exceed $15\text{ kW}$ .
- Category 2: Frequency Bandwidth must exceed $10\text{ GHz}$ , but Peak Power Consumption is $15\text{ kW}$ or less.
- Category 3: Frequency Bandwidth is $10\text{ GHz}$ or less, regardless of Peak Power Consumption.

Two proposed payloads require deployment:
- Payload A: Peak Power Consumption = $18\text{ kW}$ , Frequency Bandwidth = $8\text{ GHz}$ .
- Payload B: Peak Power Consumption = $12\text{ kW}$ , Frequency Bandwidth = $14\text{ GHz}$ .

Based on the classification rules, which of the following correctly identifies the assigned deployment category for Payload A and Payload B, respectively?

Payload A: Category 3; Payload B: Category 2Answer
B
Payload A: Category 1; Payload B: Category 2
C
Payload A: Category 2; Payload B: Category 3
D
Payload A: Category 3; Payload B: Category 1
E
Payload A: Category 1; Payload B: Category 3

Answer

Payload A is assigned to Category 3, and Payload B is assigned to Category 2.

Payload A has a bandwidth of 8 GHz, which is less than or equal to 10 GHz; under the classification rules, any payload with a bandwidth of 10 GHz or less is placed in Category 3 regardless of peak power. Payload B has a bandwidth of 14 GHz (>10 GHz) and a power consumption of 12 kW (15 kW or less), satisfying the criteria for Category 2. Thus, the correct pair is Payload A: Category 3; Payload B: Category 2.

Step-by-Step Solution

Evaluate Payload A against the classification rules.

Payload A has Peak Power Consumption =

18\text{ kW}

and Frequency Bandwidth =

8\text{ GHz}

. Since the bandwidth is

8\text{ GHz} \leq 10\text{ GHz}

, rule Category 3 applies directly regardless of power.

Category 3 explicitly states that any payload with Frequency Bandwidth of

10\text{ GHz}

or less falls into Category 3.

Evaluate Payload B against the classification rules.

Payload B has Peak Power Consumption =

12\text{ kW}

and Frequency Bandwidth =

14\text{ GHz}

. The bandwidth exceeds

10\text{ GHz}

, and the power consumption is

12\text{ kW} \leq 15\text{ kW}

. Therefore, Payload B falls into Category 2.

Category 2 requires bandwidth

>10\text{ GHz}

and power

\leq 15\text{ kW}

Combine the evaluations to select the correct paired classification.

Payload A: Category 3; Payload B: Category 2.

Matching both evaluations yields Category 3 for Payload A and Category 2 for Payload B.

Key Concept

Multi-attribute categorical sorting with conditional logical rules.

Estimated Time:1m 30s

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