Astronomy Quiz on Tycho Brahe and Kepler

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Questions and Answers

What was Tycho Brahe known for in his astronomical contributions?

  • Developing the heliocentric model of the universe
  • Discovering the laws of planetary motion
  • Compiling precise observations without a telescope (correct)
  • Inventing the first telescope

What was the fate of Tycho Brahe's nose?

  • He lost it in a duel and wore a prosthetic (correct)
  • It was injured in a scientific experiment
  • He lost it due to a medical condition
  • He had it removed to improve his senses

Which of the following is a key feature of Kepler's First Law of Planetary Motion?

  • Planets have elliptical orbits with the Sun at one focus (correct)
  • All planets move at uniform speeds in their orbits
  • Planets orbit the Sun in circular paths
  • The orbits of planets are perfectly symmetric

What measurement indicates how elliptical an orbit is?

<p>Eccentricity (C)</p> Signup and view all the answers

What was a major limitation of Tycho Brahe's observations?

<p>They failed to resolve the issues in planetary motion (A)</p> Signup and view all the answers

What angular difference did Kepler find when trying to match Tycho's observations with circular orbits?

<p>8 arcminutes (D)</p> Signup and view all the answers

What does an eccentricity value of 0.012 imply about Earth's orbit?

<p>It is slightly elliptical (A)</p> Signup and view all the answers

Who was the apprentice of Tycho Brahe and formulated the laws of planetary motion?

<p>Johannes Kepler (A)</p> Signup and view all the answers

What does science primarily rely on to explain observed phenomena?

<p>Natural causes (D)</p> Signup and view all the answers

Which principle advises selecting the simpler explanation when faced with multiple hypotheses?

<p>Occam's Razor (D)</p> Signup and view all the answers

Which prediction can be tested experimentally?

<p>More RDP students are enrolled in biology courses than in chemistry courses in the Winter 2023 term. (B)</p> Signup and view all the answers

In the context of the Copernican Revolution, which model is an example of applying Occam's Razor?

<p>Heliocentric model with elliptical orbits (A)</p> Signup and view all the answers

What is an essential characteristic of scientific predictions?

<p>They need to be testable and falsifiable. (D)</p> Signup and view all the answers

Which of the following options does NOT represent a scientific explanation?

<p>The stars are controlled by divine beings. (C)</p> Signup and view all the answers

Which characteristic of science helps to establish its reliability over time?

<p>Continuous testing and revision of models (C)</p> Signup and view all the answers

Which of these statements is an example of an untestable prediction?

<p>All humans have souls. (D)</p> Signup and view all the answers

How would you describe the orbital eccentricity of a comet that orbits between Mercury's and Neptune's orbits?

<p>High eccentricity (B)</p> Signup and view all the answers

What is the primary concept illustrated by Kepler's Second Law of Planetary Motion?

<p>Planets sweep out equal areas in equal times (B)</p> Signup and view all the answers

At which point in its orbit does a planet move the fastest?

<p>Perihelion (C)</p> Signup and view all the answers

Where does a comet with an orbit having a perihelion of 1 AU and an aphelion of 100 AU spend the longest amount of time?

<p>More than 90 AU from the Sun (C)</p> Signup and view all the answers

What can be inferred about the gravitational force between two objects based on their distance?

<p>It increases as the distance decreases (D)</p> Signup and view all the answers

What is the semi-major axis of a comet with a perihelion at 1 AU and an aphelion at 100 AU?

<p>50.5 AU (C)</p> Signup and view all the answers

According to Kepler's Third Law, how is the relationship between the orbital period and the average distance of a planet from the Sun expressed?

<p>$P^2 = a^3$ (A)</p> Signup and view all the answers

What happens to a planet's velocity as it orbits from aphelion to perihelion?

<p>It increases, reaching a maximum at perihelion (A)</p> Signup and view all the answers

What does it mean for a scientific theory to be falsifiable?

<p>It can be disproven by evidence. (C)</p> Signup and view all the answers

Why must scientific models be revised or abandoned?

<p>Because they might not agree with new observations. (A)</p> Signup and view all the answers

What is a key characteristic that differentiates scientific theories from everyday usage of the term 'theory'?

<p>Scientific theories explain different observations and predict outcomes. (A)</p> Signup and view all the answers

What is a common misconception about the status of scientific models and theories?

<p>They can become scientific facts. (A)</p> Signup and view all the answers

What effect do human biases have on scientific research?

<p>They distort the scientific method but can be minimized. (C)</p> Signup and view all the answers

What is the goal of following the scientific method?

<p>To minimize biases and enhance objectivity. (A)</p> Signup and view all the answers

What is indicated by the adaptability of science?

<p>Beliefs can evolve with new evidence. (D)</p> Signup and view all the answers

What does it imply when scientists promote a model to the status of a scientific theory?

<p>It has consistently explained observations and predicted results accurately. (C)</p> Signup and view all the answers

What is the relationship between the semi-major axis and the orbital period in the Solar System?

<p>All objects with a given semi-major axis take the same time to orbit the Sun. (B)</p> Signup and view all the answers

For an asteroid with a semi-major axis of 1 AU, how long would it take to orbit the Sun?

<p>Exactly 1 year (B)</p> Signup and view all the answers

If a speck of dust replaces Earth in its orbit, what is its expected behavior?

<p>It will follow a similar orbit to Earth. (D)</p> Signup and view all the answers

Which principle did the heliocentric model challenge most significantly?

<p>The Sun and planets follow perfect circular motions. (A)</p> Signup and view all the answers

For an asteroid that takes 12.85 years to orbit the Sun, what is the semi-major axis of its orbit?

<p>Approximately 3.0 AU (D)</p> Signup and view all the answers

What aspect of Kepler's 3rd Law did Kepler not understand during his time?

<p>The mass of the star affects the orbital period. (B)</p> Signup and view all the answers

Why was the heliocentric model not widely accepted at first?

<p>It went against the belief of Earth’s immovability. (B)</p> Signup and view all the answers

What is the significance of the semi-major axis in measuring the orbital period?

<p>It provides a constant relationship with the orbital period. (C)</p> Signup and view all the answers

What is a characteristic of a biased scientific experiment?

<p>It has a tendency to obtain a particular result. (D)</p> Signup and view all the answers

Which of the following statements correctly describes pseudoscience?

<p>Pseudoscience uses scientific terminology but doesn't follow scientific methods. (A)</p> Signup and view all the answers

How does pseudoscience typically explain phenomena?

<p>By basing its claims on past occurrences without predictions. (A)</p> Signup and view all the answers

Which of the following is a hallmark of scientific inquiry that pseudoscience typically ignores?

<p>Continuous refinement of theories. (D)</p> Signup and view all the answers

What is the primary reason for the difficulty in discovering small planets around stars?

<p>The technologies available are limited in detecting small planets. (C)</p> Signup and view all the answers

Which of these characteristics is commonly associated with pseudoscience?

<p>There are always excuses for failures instead of revisions. (B)</p> Signup and view all the answers

Which of the following best represents the goal of recreating experiments by multiple scientists?

<p>To eliminate bias and verify results. (C)</p> Signup and view all the answers

What term describes beliefs that are mistaken for scientific but do not follow proper methodology?

<p>Pseudoscience. (B)</p> Signup and view all the answers

Flashcards

Nova

A celestial object that suddenly and temporarily increases in brightness, often appearing as a new star.

Eccentricity of an Ellipse

The degree to which an ellipse deviates from a perfect circle. It's essentially a measure of how 'squished' the ellipse is.

Elliptical Orbit

A type of orbit where the Sun is at one focus of the ellipse, the planet's path is not circular but oval shaped.

Kepler's First Law

One of the three laws of planetary motion discovered by Johannes Kepler; it states that the orbits of planets around the Sun are ellipses, not circles.

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Johannes Kepler

German astronomer known for his three laws of planetary motion, derived from Tycho Brahe's extensive astronomical observations.

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Tycho Brahe

Danish astronomer known for his precise astronomical observations, particularly of the planets, paving the way for Kepler's laws.

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Arcminute

Tiny unit of angular measure; one sixtieth of a degree.

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Residual Error

The difference between the observed position of a planet and the position predicted by a model.

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Orbital Eccentricity

A measure of how elongated an elliptical orbit is. A value close to 0 indicates a nearly circular orbit, while a value close to 1 indicates a highly elongated orbit.

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Aphelion

The point in an orbit where the celestial body is furthest from the Sun.

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Perihelion

The point in an orbit where the celestial body is closest to the Sun.

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Kepler's Second Law

The line connecting the planet to the Sun sweeps out equal areas in equal amounts of time.

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Why planets move faster at perihelion

Planets move faster at perihelion and slower at aphelion, to maintain the same area swept out in equal time.

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Where a comet spends most of its time

A comet spends most of its time far from the Sun, at its aphelion.

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Semi-major axis

The average of the distances between the planet and the Sun at its perihelion and aphelion.

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Kepler's Third Law

More distant planets orbit the Sun at slower average speeds, with the relationship between orbital period (P) and semi-major axis (a): P² = a³

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Semi-major Axis (a)

The semi-major axis (a) of an elliptical orbit is half the longest distance across the ellipse.

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Orbital Period (P)

The orbital period (P) is the time it takes for a planet to complete one full orbit around the Sun.

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Kepler's Third Law Limitation

Kepler's Third Law only holds true when the mass of the star is the same as the Sun's mass.

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Orbital Period Independence

Any object, regardless of its mass, orbiting the Sun with the same semi-major axis will have the same orbital period.

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Earth Replacement

If Earth is replaced by a dust particle, it will continue to orbit the Sun in the same orbit and time as Earth.

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Asteroid Orbital Period

An asteroid with a semi-major axis of 7.2 AU will have a longer orbital period than Earth, taking more than 1 year to orbit the Sun.

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Asteroid Semi-major Axis

An asteroid with an orbital period of 12.85 years has a semi-major axis that is greater than Earth's.

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Occam's Razor

The principle that when presented with multiple explanations for the same phenomenon, the simplest one is likely to be correct.

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Testable Prediction

A prediction that can be tested through experiments or observations, allowing scientists to gather evidence that either supports or refutes the prediction.

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Falsifiable Prediction

A prediction that can be proven false through experiments or observations. This ability to be disproven is crucial for scientific progress.

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Natural Explanations in Science

Explaining observed phenomena using only natural causes, avoiding reliance on myths, magic, or supernatural explanations.

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Scientific Method

A process of developing and testing models of nature to explain observations as simply as possible. It involves proposing explanations, making predictions, and designing experiments to validate or refute those explanations.

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Model Building in Science

The creation of models that explain observed phenomena and make testable predictions. These models can evolve as new information becomes available.

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Scientific Progress

The process of gathering data, analyzing results, and revising or rejecting scientific models based on evidence. Progress in science occurs through this ongoing process of hypothesis testing and refinement.

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Testable Statements

Statements that can be evaluated by comparing them to actual data or observations. For a statement to be testable, it must be possible to collect evidence that either supports or refutes it.

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Falsifiable

The ability of a scientific model or theory to be proven wrong by evidence.

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Scientific Theory

A scientific model that explains a broad range of observations and consistently predicts accurate results.

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Bias

Personal opinions, beliefs, or experiences that can influence scientific observations and interpretations.

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Peer Review

The practice of sharing scientific results and data openly among fellow researchers for review and scrutiny.

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Scientific Knowledge

A collection of knowledge and theories in a specific field, constantly evolving and expanding.

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Scientific Model

A scientific model that explains a specific phenomenon, but may be later modified or replaced as new evidence emerges.

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Scientific Bias

A systematic error in an experiment that makes it likely to obtain a particular result.

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Pseudoscience

A collection of beliefs or practices that are commonly mistaken to be scientific but lack scientific foundation.

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Replication of Experiments

Repeated experiments to validate results and reduce the impact of bias.

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Post-diction

A scientific explanation that is based on observations after an event has occurred, rather than predictions made beforehand.

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Misuse of Scientific Jargon

The tendency to use scientific terms incorrectly, giving a false impression of scientific validity.

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Unfalsifiable Claims

The inability of a theory or claim to be revised or abandoned when evidence contradicts it.

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Predictive Power

The ability of a theory to make predictions that can be tested.

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Science-ploitation

The use of scientific-sounding explanations to appeal to people who are interested in a particular topic.

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Study Notes

Unit 3: The Science of Astronomy

  • Humans have observed patterns in the stars for millennia.
  • Ancient Greeks sought natural explanations for phenomena, debated ideas, used mathematics, and understood that explanations must align with observations.
  • Scientific models of nature do not invoke myth, magic, or the supernatural.
  • A scientific model is a physical, mathematical, or conceptual representation of aspects of nature.
  • Aristarchus of Samos proposed a heliocentric model of the Solar System (although it wasn't widely accepted at the time).
  • Eratosthenes calculated Earth's circumference and rotation axis tilt using observations of a lunar eclipse.

Ancient Greek Science

  • Ancient Greeks developed scientific models of nature.
  • They worked to understand nature without supernatural explanations, debated and challenged each other's ideas, using mathematics to give precision to their ideas.
  • They understood an explanation could not be right if it disagreed with observed facts.

The Copernican Revolution

  • Ptolemy's model, while mathematically complex, accurately predicted planetary positions for centuries.
  • Ptolemy's model considered Earth at the center of orbits (geocentric).
  • Nicolaus Copernicus proposed a heliocentric model (sun-centered), using simpler mathematical calculations, and recognizing that the stars are distant.
  • Although similar in accuracy, the Copernican model is simpler.
  • Accuracy in science is different than precision.
  • Accuracy refers to closeness to truth, while precision denotes the degree of refinement in a measurement.
  • A more accurate but less precise model can be a better scientific model if it requires less complex mathematics.

Tycho Brahe

  • Danish astronomer who diligently made detailed and accurate observations of planetary positions.
  • Lost part of his nose in a duel, but still continued his research, using equipment that helped improve the Copernican model, though did not solve the core problems of the earlier models.

Johannes Kepler

  • German astronomer and mathematician who used Tycho Brahe's data to develop three laws of planetary motion.
  • Kepler's first law: planets orbit the Sun in ellipses, not circles.
  • Ellipses are characterized by their eccentricity, measuring how elongated they are compared to a circle.
  • Kepler's second law: a line joining a planet and the Sun sweeps out equal areas during equal intervals of time.
  • This means a planet moves faster when it is closer to the Sun and slower when it is farther away.

Kepler's Third Law

  • Kepler's third law relates the orbital period (time to complete one orbit) of a planet to the semi-major axis (average distance from the Sun) of its orbit.
  • The law states that the square of the orbital period is proportional to the cube of the semi-major axis.

Galileo Galilei

  • Italian astronomer and physicist who supported the heliocentric model.
  • Galileo's telescopic observations provided crucial evidence for the heliocentric model, specifically observing phases of Venus.
  • These phases are not possible with the geocentric model.

Hallmarks of Science

  • Science aims to explain natural phenomena without supernatural intervention.
  • When confronted with multiple explanations, the simpler one is often preferred (Occam's Razor).
  • Scientific models and theories are falsifiable; no matter how strongly supported, they can be disproved if evidence emerges that contradicts them.
  • The process of science involves testing ideas through experiments, observation, and analysis.

Pseudoscience

  • Pseudoscience refers to beliefs or practices presented as scientific, but these lack empirical evidence and do not adhere to the scientific method.
  • Frequently are characterized by claims that are either unfalsifiable, relying heavily on personal anecdotes or testimonials, or cherry-picking data to support claims, rather than evaluating and integrating all available data.

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