PAPAS^3 Curriculum in Space Science

JP MathPR, Jul 27, 2018

The Planetary, Astronomy, Photonic, and Atmospheric Sciences in Space Science (PAPAS^3) Curriculum could be used in programs such as the Arecibo Observatory Space Academy, workshops, or any other program for High School Students. It offers guidance for activity and lesson plan preparation in Space Science that meets the educational standards set by Department of Education of Puerto Rico. It Includes Science, Technology, Research, Engineering, Arts and Mathematics (STREAM) and Project-Based Learning (PBL) concepts using Geogebra. This research was supported by National Science Foundation. I thank all my Arecibo Observatory mentors who provided insight and expertise that greatly assisted the research, although they may not agree with all of the interpretations and conclusions of this presentation. Mentor List: Anne Virkki, Sean Marshall and Flaviane Venditti (Planetary), Andrew Ortiz (Visitor Center), Andrés Díaz (Photonics), Kristen Jones and Nipuni Palliyaguru (Astronomy), and Eliana Nossa, Néstor Aponte, Pedrina Santos, Christiano Brum, and Jens Lautenbach (Atmospherics). Planetary, Astronomy, Photonic Atmospheric Sciences Space Science, PAPAS^3, Curriculum Arecibo Observatory Space Academy, Space Science, Science, Technology, Research, Engineering, Arts, Mathematics, STREAM, Project-Based Learning, PBL, Geogebra

Table of Contents

  1. Planetary Science
    1. Elliptical Trajectories Models
    2. Circular Cluster Model
    3. 3D Circular Cluster Model
    4. 3D Spiral Cluster Model
    5. Elliptic Dispersion 3D Model
    6. Dispersion of Radial Intensity and Ring System
    7. Mínimo Común Múltiplo - Órbitas Circulares Satelitales - Conjunción & Oposición
  2. Photonic
    1. Normal Reflection at an Air-Glass Interface
    2. General Reflection at an Air-Water Interface
    3. Snell's Law
  3. Astronomy
    1. Black Hole Model
    2. Pulsar Star Model
    3. Galaxy Spiral Model
  4. Atmospheric Science
    1. A Electron Density Layer Model
    2. Discrete Chapman Layer (Numerical)
    3. Continuous Chapman Layer (Algebraic)
  5. Space Science Functions
    1. Peak Wavelength Radiation Function
    2. Witch of Agnesi Function Model
    3. Exponential Function Model
    4. Rational Gravitational Field Model
    5. Logarithmic Gravitational Field Model
    6. Gaussian Gravitational Field Model
    7. Lanzamiento de un Cohete Espacial - Función & Gráfica de Altura & Velocidad de un Cohete Espacial - Física - Cinemática
  6. Astronomical Structures
    1. Dome Model
    2. Satellite Dish Model
  7. Trigonometry
    1. Problema Verbal de Trigonometría con Tangente - Radio de un Satélite desde un Planeta
    2. Problema Verbal de Trigonometría - Comunicaciones, Satélite Artificial & Órbita Terrestre
    3. Problema Verbal de Trigonometria - Radio de Planeta - Distancia de Separación del Satélite Artificial - Ángulo de Visión - Ángulo de Apertura

1.

Planetary Science

  • 1. Elliptical Trajectories Models
  • 2. Circular Cluster Model
  • 3. 3D Circular Cluster Model
  • 4. 3D Spiral Cluster Model
  • 5. Elliptic Dispersion 3D Model
  • 6. Dispersion of Radial Intensity and Ring System
  • 7. Mínimo Común Múltiplo - Órbitas Circulares Satelitales - Conjunción & Oposición

1.1.

Elliptical Trajectories Models

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1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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2.

Photonic

  • 1. Normal Reflection at an Air-Glass Interface
  • 2. General Reflection at an Air-Water Interface
  • 3. Snell's Law

2.1.

Normal Reflection at an Air-Glass Interface

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2.2.

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2.3.

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3.

Astronomy

  • 1. Black Hole Model
  • 2. Pulsar Star Model
  • 3. Galaxy Spiral Model

3.1.

Black Hole Model

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3.2.

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3.3.

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4.

Atmospheric Science

  • 1. A Electron Density Layer Model
  • 2. Discrete Chapman Layer (Numerical)
  • 3. Continuous Chapman Layer (Algebraic)

4.1.

A Electron Density Layer Model

– JP MathPR

4.2.

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4.3.

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5.

Space Science Functions

Describes the dynamic study of algebraic functions in two and three dimensions to explain and describe simple behaviors and phenomena in Space Science.

  • 1. Peak Wavelength Radiation Function
  • 2. Witch of Agnesi Function Model
  • 3. Exponential Function Model
  • 4. Rational Gravitational Field Model
  • 5. Logarithmic Gravitational Field Model
  • 6. Gaussian Gravitational Field Model
  • 7. Lanzamiento de un Cohete Espacial - Función & Gráfica de Altura & Velocidad de un Cohete Espacial - Física - Cinemática

5.1.

Peak Wavelength Radiation Function

– JP MathPR

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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6.

Astronomical Structures

  • 1. Dome Model
  • 2. Satellite Dish Model

6.1.

Dome Model

– JP MathPR

6.2.

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7.

Trigonometry

  • 1. Problema Verbal de Trigonometría con Tangente - Radio de un Satélite desde un Planeta
  • 2. Problema Verbal de Trigonometría - Comunicaciones, Satélite Artificial & Órbita Terrestre
  • 3. Problema Verbal de Trigonometria - Radio de Planeta - Distancia de Separación del Satélite Artificial - Ángulo de Visión - Ángulo de Apertura

7.1.

Problema Verbal de Trigonometría con Tangente - Radio de un Satélite desde un Planeta

– JP MathPR

7.2.

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7.3.

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Information