Find the maxima and minima of the magnitude

In summary, finding the maxima and minima of magnitude is crucial in various scientific fields and helps identify patterns and relationships within data. These values can be calculated using mathematical techniques such as differentiation, regression analysis, and visual inspection. The maxima and minima of magnitude can change over time and have practical applications in identifying strengths and weaknesses, defining limits, and detecting anomalies. However, these values may not always accurately represent the full range of data and should be carefully evaluated to avoid errors or outliers.
  • #1
imy786
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Homework Statement



A hypothetical star S has a planet P that moves in an elliptical orbit with period T . The minimum distance of P from S is d and the maximum distance is 1.7d.
(i) find the maxima and minima of the magnitude of the acceleration of P, in terms of d and T .

Homework Equations



dont know

The Attempt at a Solution



can anyone give me the equation for this
 
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  • #2
Try Newton´s law of gravitation or Kepler´s laws.
 
  • #3
a= (2*pi)^2 * ( r^3 / T^2) * 1/ X^2

minimum distance is d
max distance is 1.7 d

do i substitue d for r?
 

1. What is the purpose of finding the maxima and minima of magnitude?

Finding the maxima and minima of magnitude is important in many fields of science, such as physics, engineering, and statistics. It allows us to identify the highest and lowest values of a given set of data, which can provide insights into patterns, trends, and relationships within the data.

2. How do you calculate the maxima and minima of magnitude?

The maxima and minima of magnitude can be calculated using various mathematical methods, depending on the type of data and its distribution. Some common techniques include differentiation, regression analysis, and visual inspection of graphs or charts.

3. Can the maxima and minima of magnitude change over time?

Yes, the maxima and minima of magnitude can change over time, especially in cases where the underlying data is dynamic or subject to external influences. This is why it is important to regularly reevaluate and update these values as new data becomes available.

4. What are some applications of finding the maxima and minima of magnitude?

Finding the maxima and minima of magnitude has many practical applications, such as identifying the strongest and weakest points in a structure or system, determining the limits of a process or function, and detecting outliers or anomalies in data sets.

5. Are there any limitations to finding the maxima and minima of magnitude?

While finding the maxima and minima of magnitude can provide valuable insights, it is important to note that these values may not always accurately represent the full range of data. In some cases, extreme values may be caused by errors or outliers, which can skew the results. Therefore, it is important to carefully evaluate the data and consider other factors before drawing conclusions based on these values.

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