Homework Answers
%%% Matlab code %%%
clc;
clear all;
close all;
d=[87.96 224.6 356.2 686.9 4332 10759];
t=[0.3871 0.7233 1 1.523 5.2 9.54];
% b)
% user defined function fitting
c= lsqcurvefit(@myfun1,[1 ,2], d, t);
y2=c(1)*d.^c(2);
figure;
plot(t,d,'*');
hold on
plot(y2,d);
xlabel('Time period');
ylabel('Distance from sun');
fprintf('fitting function is t=%f d^ %f ',c(1),c(2));
OUTPUT:
fitting function is t=0.019716 d^ 0.665874
Add Answer to:
1. Kepler's harmonic law of planetary motion (his 3rd law) states that the square of the...
Planetary Speed help: According to Kepler’s Third Law, planets closer to the sun have shorter years....
Planetary Speed help: According to Kepler’s Third Law, planets closer to the sun have shorter years. We might ask the question, “Is this because they move faster, or because they don’t have as far to go?” Let’s investigate. Speed is distance divided by time, so if we know how far a planet travels and how long it takes, we can calculate speed. Look up the period and orbital distance (in years and AU, respectively) of Mercury, Venus and Earth. Assuming...
In our derivation of Kepler's laws, we assumed the only force on a planet is due...
In our derivation of Kepler's laws, we assumed the only force on
a planet is due to the Sun. In a real solar system, however, the
gravitational forces from the other planets can sometimes be
important. Calculate the gravitational force of Jupiter on the
Earth. Do the calculations for the cases when Jupiter is both
closest (Fc) to and farthest
(Ff) from the Earth (see the figure below).
(The properties of several objects in the solar system are given in...
For the following exercises, use Kepler's Law, which states that the square of the time, T...
For the following exercises, use Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. a. Use Mars's time of 2 and mean distance of 0.142 billion miles, find the equation relating T and a. (Enter an equation in terms of T and a. Round...
Distance from Sun SQ of Orbital Orbital Period (Yrs) 0.2 0.6 Distance from Sun CUBED (S3)...
Distance from Sun SQ of Orbital Orbital Period (Yrs) 0.2 0.6 Distance from Sun CUBED (S3) 0.059319 0.37793307 Planet Period (P2) .04 .36 Mercury Venus Earth Mars 0.39 0.723 1 1.9 11.9 29.5 84 164.8 1 1.524 5.203 9.539 19.18 30.06 39.53 1 3.61 141.61 870.25 7,056 27,159.04 61,504 1 3.53960582 140.8515 867.977658 7,055.79263 27,162.3242 61,770.4042 Jupiter Saturn Uranus Neptune Pluto (Dwarf) 248 From the data above, make a plot of (Orbital Period)2 vs. (Distance from the Sun)3 andd paste...
1 (10 pts). In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory....
1 (10 pts). In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory. Kepler had been helping Tycho Brache in collecting 13 years of observations on relative motion of the planet Mars. By 1609, Kepler had formulated his first two laws of planetary motion: i. Each planet moves on an ellipse with the sun at one focus. ii. For each planet, the line from the sun to the planet sweeps out equal areas is equal times. Kepler's...
Solving Direct Variation Problems For the following exercises, use Kepler's Law, which states that the square...
Solving Direct Variation Problems For the following exercises, use Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. a. Use Jupiter's time of 12 and mean distance of 0.484 billion miles, find the equation relating T and a. (Enter an equation in terms of...
Please explain step by step! Useful Planetary Data Mean Radius (m) 243 × 106 6.06 ×...
Please explain step by step!
Useful Planetary Data Mean Radius (m) 243 × 106 6.06 × 10° 6.38 × 10° 3.37 × 106 6.99×107 5.85 × 10' 2.33 × 107 221 × 107 1.14 × 10° 1.74 × 10° 696 × 108 Period (s) 7.60 × 106 1.94 × 107 3.156 × 10, 5.94 × 10' 3.74 × 108 9.35 × 108 2.64 × 109 5.22 × 109 782 × 109 Mean Distance from Sun (m) 579 × 100 1.08...
VISUAL STUDIO - WINDOWS FORM APP (C#) - PLEASE MAKE SURE TO SHOW ALL CODE &...
VISUAL STUDIO - WINDOWS FORM APP (C#) - PLEASE MAKE SURE
TO SHOW ALL CODE & ANSWER/FOLLOW ALL THE QUESTIONS IN THE
ASSIGNMENT!
Planet Info Help When planning this project, review the concept of accessing object properties on another form. Form2.IblMessage.Text = "1122.25" or you can put a string or object instead of numbers You can then create one form for the Planets information and set all the properties before you display the Planet Form For the pictures of the...
please answer and show work for all parts of equation Kepler's Law, which states that the...
please answer and show work for all parts
of equation
Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, d (measured in billions of kilometers), that the planet is from the Sun. 19 a. It takes Saturn approximately 30 Earth years to orbit the Sun with a mean distance of 1.4 billion kilometers. Use this information to...
acair ay four significant digits 5-1. Verify the value given in Table 5-3-1 for rsoi of...
acair ay four significant digits 5-1. Verify the value given in Table 5-3-1 for rsoi of the following planets with respect to the Sun (a) Mercury (b) Neptune (c) Jupiter -(d) Venus TABLE 5-3-1 RADIUS OF SPHERE OF INFLUENCE (SOI) Planet AU Meters Nautical miles Mercury 0.000747 .117x 10* 6.163 x 108 5.781 108 5.627 x 10° 8.664 x 1010 60,710 334,900 502,500 314,200 x I01 26,200,000 30,580,000 5.172 x 10°28,110,000 47,090,000 1,804,000 0.00411 Venus Earth Mars Jupiter Saturn Uranus...
In our derivation of Kepler's laws, we assumed the only force on
a planet is due to the Sun. In a real solar system, however, the
gravitational forces from the other planets can sometimes be
important. Calculate the gravitational force of Jupiter on the
Earth. Do the calculations for the cases when Jupiter is both
closest (Fc) to and farthest
(Ff) from the Earth (see the figure below).
(The properties of several objects in the solar system are given in...
For the following exercises, use Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. a. Use Mars's time of 2 and mean distance of 0.142 billion miles, find the equation relating T and a. (Enter an equation in terms of T and a. Round...
Distance from Sun SQ of Orbital Orbital Period (Yrs) 0.2 0.6 Distance from Sun CUBED (S3) 0.059319 0.37793307 Planet Period (P2) .04 .36 Mercury Venus Earth Mars 0.39 0.723 1 1.9 11.9 29.5 84 164.8 1 1.524 5.203 9.539 19.18 30.06 39.53 1 3.61 141.61 870.25 7,056 27,159.04 61,504 1 3.53960582 140.8515 867.977658 7,055.79263 27,162.3242 61,770.4042 Jupiter Saturn Uranus Neptune Pluto (Dwarf) 248 From the data above, make a plot of (Orbital Period)2 vs. (Distance from the Sun)3 andd paste...
1 (10 pts). In 1601 the German astronomer Johannes Kepler became director of the Prague Observatory. Kepler had been helping Tycho Brache in collecting 13 years of observations on relative motion of the planet Mars. By 1609, Kepler had formulated his first two laws of planetary motion: i. Each planet moves on an ellipse with the sun at one focus. ii. For each planet, the line from the sun to the planet sweeps out equal areas is equal times. Kepler's...
Solving Direct Variation Problems For the following exercises, use Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, a (measured in billions of miles), that the planet is from the Sun. a. Use Jupiter's time of 12 and mean distance of 0.484 billion miles, find the equation relating T and a. (Enter an equation in terms of...
Please explain step by step!
Useful Planetary Data Mean Radius (m) 243 × 106 6.06 × 10° 6.38 × 10° 3.37 × 106 6.99×107 5.85 × 10' 2.33 × 107 221 × 107 1.14 × 10° 1.74 × 10° 696 × 108 Period (s) 7.60 × 106 1.94 × 107 3.156 × 10, 5.94 × 10' 3.74 × 108 9.35 × 108 2.64 × 109 5.22 × 109 782 × 109 Mean Distance from Sun (m) 579 × 100 1.08...
VISUAL STUDIO - WINDOWS FORM APP (C#) - PLEASE MAKE SURE
TO SHOW ALL CODE & ANSWER/FOLLOW ALL THE QUESTIONS IN THE
ASSIGNMENT!
Planet Info Help When planning this project, review the concept of accessing object properties on another form. Form2.IblMessage.Text = "1122.25" or you can put a string or object instead of numbers You can then create one form for the Planets information and set all the properties before you display the Planet Form For the pictures of the...
please answer and show work for all parts
of equation
Kepler's Law, which states that the square of the time, T (measured in Earth years), required for a planet to orbit the Sun varies directly with the cube of the mean distance, d (measured in billions of kilometers), that the planet is from the Sun. 19 a. It takes Saturn approximately 30 Earth years to orbit the Sun with a mean distance of 1.4 billion kilometers. Use this information to...
acair ay four significant digits 5-1. Verify the value given in Table 5-3-1 for rsoi of the following planets with respect to the Sun (a) Mercury (b) Neptune (c) Jupiter -(d) Venus TABLE 5-3-1 RADIUS OF SPHERE OF INFLUENCE (SOI) Planet AU Meters Nautical miles Mercury 0.000747 .117x 10* 6.163 x 108 5.781 108 5.627 x 10° 8.664 x 1010 60,710 334,900 502,500 314,200 x I01 26,200,000 30,580,000 5.172 x 10°28,110,000 47,090,000 1,804,000 0.00411 Venus Earth Mars Jupiter Saturn Uranus...
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