Course on orbital perturbations
About our
The Orbital Perturbations Course explores the effects of non-gravitational forces on the motion of satellites and space objects. It focuses on the analysis and modeling of perturbations caused by atmospheric drag, solar radiation pressure, irregularities in Earth’s gravitational field, and the gravitational pull of other celestial bodies. It uses mathematical and computational tools to predict and correct orbital trajectories, crucial for precise space navigation, satellite missions, and the study of the near-Earth space environment. The course provides essential knowledge for space systems engineering, covering topics such as orbital propagation, perturbation theory, orbital maneuver design, and orbit determination. Participants will learn to apply advanced models for simulating complex orbital scenarios and to understand the impact of perturbations on satellite lifetimes and space mission efficiency. The aim is to prepare professionals for roles such as flight engineers, mission analysts, and spaceflight dynamics specialists, with a focus on compliance with space engineering standards and the use of simulation software.
Course on orbital perturbations
- Format: Hybrid
- Duration: 3 months
- Hours: 300 H
- Language: English / Spanish
- Registration date: 23-10-2026
- Start date: 12-12-2026
- Available places: 2
299 $
Competencies and results
What you will learn
1. **Comprehensive Domain of Orbital Perturbations: Trajectories, Prediction, and Control**
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Understand the fundamentals of orbital perturbations, including their sources and effects on the trajectories of satellites and other space objects.
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Analyze the mathematical models that describe orbital perturbations, such as those due to Earth’s non-spherical gravity, solar radiation pressure, and atmospheric drag.
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Apply orbital propagation techniques to predict the position and velocity of objects in orbit over time, taking perturbations into account.
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Study orbit control methods, including orbital transfer maneuvers, perturbation correction, and attitude control.
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Develop skills in using orbital simulation software to model and analyze the behavior of satellites in the presence of perturbations.
Evaluate the impact of orbital perturbations on space missions, including mission planning, propulsion system design, and satellite lifetime management.
Become familiar with orbit determination techniques and their application for the accurate estimation of the position and velocity of space objects.
Explore the implications of orbital perturbations on space debris and strategies to mitigate their impact.
Deeply study special orbital perturbations, such as orbital resonances and perturbations due to celestial bodies.
Apply the acquired knowledge to the design and analysis of space missions, considering the effects of orbital perturbations.
2. **In-Depth Rotor Analysis: Modeling, Simulation, and Performance Optimization**
- Modeling and simulation of complex rotors: You will master advanced techniques for representing and analyzing rotor behavior in virtual environments, including specialized software and state-of-the-art methodologies.
- Study of rotor dynamics: You will learn to identify and predict crucial phenomena such as flap-lag-torsion, which are crucial for blade stability and control.
- Optimization of aerodynamic performance: You will acquire knowledge to improve rotor efficiency, reducing drag and maximizing lift, through computational design techniques and computational fluid dynamics (CFD).
- Failure and durability analysis: You will be trained in evaluating the structural integrity of rotors, including fatigue analysis and the study of damage mechanisms.
- Design and analysis of composite materials: You will master the dimensioning of laminated structures in composites. fundamental to the construction of modern rotors.
- Modeling and simulation of whirl flutter phenomena: You will understand and simulate instabilities related to the interaction between the blades and the airflow, developing strategies to mitigate them.
- Design and analysis of joints and bonded joints with finite element analysis: You will learn to design and analyze structural joints, employing the finite element (FE) method to ensure the integrity of the components.
- Implementation of damage tolerance strategies: You will acquire skills to evaluate the damage tolerance of rotors, allowing you to predict their lifespan and ensure safety.
- Application of non-destructive testing techniques (UT/RT/thermography): You will become familiar with non-destructive testing methods such as UT (ultrasound), RT (radiography), and thermography for inspection and Rotor integrity assessment.
3. Comprehensive user-oriented design and validation (from modeling to manufacturing)
You will learn to integrate the entire product development process, from initial model conception to final validation, applying user-centered methodologies. You will develop skills in parametric design, ergonomics, simulation, sustainable materials, 3D visualization, and manufacturing management, ensuring efficient, safe solutions that meet current industry standards.
4. **Master's Degree in Orbital Perturbations: Precise Calculation, Advanced Propagation and Mitigation Strategies**
4. **Master’s Degree in Orbital Perturbations: Precise Calculation, Advanced Propagation, and Mitigation Strategies**
Orbit Determination and Estimation: State estimation techniques, Kalman filtering, and least squares methods for the precise determination of orbits.
Mission Control: Planning and design of orbital maneuvers, including orbit changes, space rendezvous, and atmospheric re-entry.
Space Debris Mitigation Strategies: Risk assessment, collision modeling, and design of strategies to reduce the generation and impact of space debris.
Specialized Tools and Software: Use of orbital simulation software (STK, GMAT, etc.) and analysis tools for the practical application of learned concepts.
Case Studies: Analysis of real space missions and simulations of complex scenarios for the practical application of acquired knowledge.
5. **In-Depth Exploration of Orbital Perturbations: Dynamics, Effects, and Orbit Management**
5. **In-Depth Exploration of Orbital Perturbations: Dynamics, Effects, and Orbit Management**
Understand the fundamentals of orbital mechanics, including Kepler’s laws and the orbit equation.
Identify and analyze the different sources of orbital perturbations: gravitational (Earth’s non-spherical nature, attraction of celestial bodies), and non-gravitational (atmospheric drag, solar radiation pressure, propulsive forces).
Model and simulate the behavior of orbits in the presence of perturbations using specialized software.
Evaluate the effects of perturbations on the position accuracy and lifespan of satellites.
Apply orbital control and maneuvering techniques to mitigate the effects of perturbations and maintain the desired orbit.
Study the reference frames and transformations necessary for the accurate description of perturbations. orbits.
6. **Advanced Orbital Navigation: Perturbations, Modeling, and Precision Maneuvers**
6. **Advanced Orbital Navigation: Perturbations, Modeling, and Precision Maneuvers**
Understand and apply the principles of advanced orbital navigation, including the analysis of gravitational perturbations, solar pressure perturbations, and atmospheric drag.
Master the precise modeling of orbital trajectories using specialized software and orbit propagation techniques.
Study and simulate high-precision orbital maneuvers, such as orbit changes, space rendezvous, and atmospheric reentry.
Analyze and mitigate the effects of perturbations on the planning and execution of space missions.
Become familiar with the navigation systems used in space exploration, including sensors, actuators, and control algorithms.
Learn to evaluate the performance and reliability of orbital navigation systems.
Explore the applications of advanced orbital navigation in scientific, commercial, and defense missions.
Who this program is for:
Course on orbital perturbations
- Graduates in Aerospace Engineering, Mechanical Engineering, Industrial Engineering, Automation Engineering, or related fields.
- Professionals in OEM rotorcraft/eVTOL, MRO, consulting, and technology centers.
- Flight Testing, certification, avionics, control, and dynamics seeking specialization.
- Regulators/authorities and UAM/eVTOL professionals requiring compliance skills.
Recommended requirements: foundation in aerodynamics and control and structures; ES/EN B2+/C1. We offer bridging tracks if you need them.
- Standards-driven curriculum: you will work with CS-27/CS-29, DO-160, DO-178C/DO-254, ARP4754A/ARP4761, ADS-33E-PRF from the first module.
- Accreditable laboratories (EN ISO/IEC 17025) with rotor bench, EMC/Lightning pre-compliance, HIL/SIL, vibrations/acoustics.
- Evidence-oriented TFM: safety case, test plan, compliance dossierand operational limits.
- Mentored by industry: teachers with experience in rotorcraft, tiltrotor, eVTOL/UAM and flight test.
- Flexible modality (hybrid/online), international cohorts and support from SEIUM Career Services.
- Ethics and security: safety-by-design approach, cyber-OT, DIH and compliance as pillars.
Module 1 — Introduction to Orbital Perturbations
1.1 Fundamental Concepts: Keplerian Orbits and Orbital Elements
1.2 Sources of Perturbations: Non-Spherical Earth’s Gravity (J2), Gravitational Attraction of the Sun and Moon, Solar Radiation Pressure
1.3 Mathematical Modeling of Perturbations: Equations of Perturbed Motion
1.4 Orbital Propagation: Numerical and Analytical Methods
1.5 Types of Orbits: LEO, MEO, GEO, and Transfer Orbits
1.6 Effects of Perturbations on Orbits: Drift, Decay, and Variations
1.7 Sensitivity Analysis: Impact of Perturbations on Space Missions
1.8 Introduction to Orbital Control: Orbit Maneuvers and Corrections
1.9 Simulation Tools Orbital: Software and Applications
1.10 Case Studies: Analysis of Missions Affected by Orbital Disturbances
2.2 Rotor Operating Principles and Design
2.2 Mathematical Modeling of Rotors: Theories and Approximations
2.3 CFD Simulation and Aerodynamic Analysis of Rotors
2.4 Structural Analysis and Material Design for Rotors
2.5 Rotor Dynamics: Stability and Control
2.6 Rotor Performance Optimization: Efficiency and Noise Reduction
2.7 Design and Analysis of Rotor Control Systems
2.8 Rotor Applications on Different Naval Platforms
2.9 Rotor Testing and Validation: Wind Tunnel and Field Testing
2.20 Case Study: Design and Improvement of Rotors for Specific Applications
3.3 Modeling and Simulation of Disturbed Orbits
3.2 Sources of Orbital Disturbances: Gravitational, Non-Gravitational
3.3 Disturbance Calculation: Analytical and Numerical Methods
3.4 Propagation of Disturbed Orbits: Advanced Numerical Integration
3.5 Effects of Disturbances on Orbit: Orbital Variations
3.6 Orbit Correction: Maneuvers and Orbital Control
3.7 Sensors and Actuators for Orbit Control
3.8 Software and Tools for Disturbed Orbit Analysis
3.9 Practical Applications: Design and Operations of Space Missions
3.30 Case Studies: Analysis of Real Missions with Disturbances
4.4. Precise Disturbance Calculation: Advanced Models
4.2. Advanced Orbital Propagation: Numerical and Analytical Techniques
4.3. Mitigation Strategies: Maneuver Design and Selection
4.4. Orbit Optimization: Fuel Consumption and Mission Duration
4.5. Adaptive Control: Real-Time Implementation
4.6. Sensors and Orbital State Estimation
4.7. Sensitivity Analysis: Impact of Disturbances
4.8. Mission Design: Planning and Execution
4.9. Advanced Simulations: Strategy Validation
4.40. Case Study: Practical Applications and Results
5.5 Introduction to orbital dynamics and its fundamental principles.
5.5 Analysis of perturbing forces: non-Newtonian gravity, atmospheric drag, solar pressure.
5.3 Modeling and simulation of orbital perturbations: numerical and analytical techniques.
5.4 Calculation and propagation of perturbed orbits: methods and algorithms.
5.5 Effects of perturbations on orbital lifetime and stability.
5.6 Strategies for managing and mitigating orbital perturbations.
5.7 Design and optimization of space missions considering perturbations.
5.8 Tools and software for orbital perturbation analysis.
5.9 Practical applications in satellite navigation, control, and design.
5.50 Case studies: analysis of specific missions and scenarios.
6.6 Introduction to Orbital Navigation and its Fundamentals
6.2 Accurate Orbit Modeling: Equations and Algorithms
6.3 Orbital Perturbation Analysis: Models and Effects
6.4 Orbit Determination: Techniques and Sensors
6.5 Orbital Maneuvers: Planning and Execution
6.6 Orbit Propagation: Simulation and Prediction
6.7 Navigation and Control Systems: Design and Implementation
6.8 Autonomous Navigation: Algorithms and Challenges
6.9 Applications of Orbital Navigation: Space Missions
6.60 Case Studies: Successful Navigation and Maneuvers
- Hands-on methodology: test-before-you-trust, design reviews, failure analysis, compliance evidence.
- Software (depending on licenses/partners): MATLAB/Simulink, Python (NumPy/SciPy), OpenVSP, SU2/OpenFOAM, Nastran/Abaqus, AMESim/Modelica, acoustics tools, planning toolchains DO-178C.
- SEIUM Laboratories: scale rotor bench, vibrations/acoustics, EMC/Lightning pre-compliance, HIL/SIL for AFCS, data acquisition with strain gauging.
- Standards and compliance: EN 9100, 17025, ISO 27001, GDPR.
Capstone-type projects
Admissions, fees, and scholarships
- Profile: Background in Computer Engineering, Mathematics, Statistics, or related fields; practical experience in NLP and valued information retrieval systems.
- Documentation: Updated CV, academic transcript, SOP/statement of purpose, project examples or code (optional).
- Process: Application → Technical evaluation of profile and experience → Technical interview → Review of case studies → Final decision → Enrollment.
- Fees:
- Single payment: 10% discount.
- Payment in 3 installments: No fees; 30% upon registration + 2 equal monthly payments of the remaining 35%.
Monthly payment: available with a 7% commission on the total; annual review.
Scholarships: based on academic merit, financial need, and promoting inclusion; agreements with companies in the sector for partial or full scholarships.
See “Calendar & Calls for Applications,” “Scholarships & Grants,” and “Fees & Financing” in the SEIUM mega-menu.
Do you have any questions?
Our team is ready to help you. Contact us, and we will respond as soon as possible.
F. A. Q
Frequently asked questions
Yes, we have international certification
Yes: experimental models, real data, applied simulations, professional environments, real case studies.
It is not mandatory. We offer leveling tracks and tutoring.
Completely. It covers e-propulsion, integration, and emerging regulations (SC-VTOL).
Recommended. There are also internal challenges and consortiums.
Yes. Online/hybrid modality with planned labs and visa support (see “Visa & Residence”).