I need help getting the discrepancy not the discrepancy % Can you please show me how to solve it into an equation. Step by step. Jus on the column of the discrepancy and not the discrepancy %

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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I need help getting the discrepancy not the discrepancy % Can you please show me how to solve it into an equation. Step by step. Jus on the column of the discrepancy and not the discrepancy %
**Exercise 3: Calculating Planetary Periods**

In this exercise, use the derived equation to calculate the orbital period of each planet or minor planet based on its semi-major axis. Input your calculations in the given table.

**Instructions:**
- Match the decimal places in the calculated period (column 4) with the actual period (column 3).
- Determine the discrepancy (the difference between the actual and calculated periods) and note it in the final column. Discard any negative signs.

| Planet/Minor Planet | Semi-major Axis (AU) | Actual Period (yr) | Calculated Period (yr) | Discrepancy | Discrepancy % |
|---------------------|-----------------------|--------------------|------------------------|-------------|---------------|
| Mercury             | 0.3871                | 0.2408             | 0.2408                 | 0           | 0             |
| Venus               | 0.7233                | 0.61515            | 0.61515                | 0           | 0             |
| Earth               | 1.0000                | 1.0000             | 1                      | 0           | 0             |
| Mars                | 1.5237                | 1.8808             | 1.8808                 | 0           | 0             |
| Ceres               | 2.767                 | 4.5909             | 4.6027                 | 0.012       | 0.261         |
| Jupiter             | 5.2028                | 11.86461           | 11.86740               | 0.00279     | 0.02352       |
| Saturn              | 9.5388                | 29.4589            | 29.4605                | 0.0016      | 0.00543       |
| Uranus              | 19.18                 | 84.0013            | 83.9988                | 0.0025      | 0.00298       |
| Neptune             | 30.0611               | 164.8095           | 164.8190               | 0.0095      | 0.00577       |
| Pluto               | 39.44                 | 247.68             | 247.69                 |
Transcribed Image Text:**Exercise 3: Calculating Planetary Periods** In this exercise, use the derived equation to calculate the orbital period of each planet or minor planet based on its semi-major axis. Input your calculations in the given table. **Instructions:** - Match the decimal places in the calculated period (column 4) with the actual period (column 3). - Determine the discrepancy (the difference between the actual and calculated periods) and note it in the final column. Discard any negative signs. | Planet/Minor Planet | Semi-major Axis (AU) | Actual Period (yr) | Calculated Period (yr) | Discrepancy | Discrepancy % | |---------------------|-----------------------|--------------------|------------------------|-------------|---------------| | Mercury | 0.3871 | 0.2408 | 0.2408 | 0 | 0 | | Venus | 0.7233 | 0.61515 | 0.61515 | 0 | 0 | | Earth | 1.0000 | 1.0000 | 1 | 0 | 0 | | Mars | 1.5237 | 1.8808 | 1.8808 | 0 | 0 | | Ceres | 2.767 | 4.5909 | 4.6027 | 0.012 | 0.261 | | Jupiter | 5.2028 | 11.86461 | 11.86740 | 0.00279 | 0.02352 | | Saturn | 9.5388 | 29.4589 | 29.4605 | 0.0016 | 0.00543 | | Uranus | 19.18 | 84.0013 | 83.9988 | 0.0025 | 0.00298 | | Neptune | 30.0611 | 164.8095 | 164.8190 | 0.0095 | 0.00577 | | Pluto | 39.44 | 247.68 | 247.69 |
Expert Solution
Step 1: Introduction

Discripancy describes the deviation from the actual value. 

In the question discrepancy means how the calculated value varies from the actual value.

Discrepancy is the difference between the actual and calculated orbital periods. 

We can calculate the discrepancy from the formulas below- 

 Discrepancy= Actual period (yr) - Calculated period (yr) 


Leave off any negative signs. 





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