How Do Relativity Effects Impact Age During Space Travel?

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In a scenario where a 30-year-old astronaut travels to a star 40 light-years away at 0.90c, her son on Earth will age 90 years by the time she returns, making him 90 years old. The astronaut's age can be calculated using the time dilation formula, considering her travel time of approximately 88.89 years round trip. Due to relativistic effects, she will age significantly less than her son during this journey. The calculations indicate that while her son ages 90 years, the astronaut's age will be around 44.44 years, resulting in her being approximately 74 years old upon return. This highlights the profound impact of relativistic effects on aging during high-speed space travel.
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a 30-year old female astronaut leaves her newborn child on Earth and goes on a round-trip voyage to a star that is 40light-years away in a spaceship traveling at 0.90c. what will be the ages of the astronaut and her son when she returns?
 
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The child is unaffected by the effects of traveling at high speed and thus will be 2x40/0.9 years old = 88.89=90 years old. I'm not well enough versed in relativistic effects to calculate the age of the astronaut.
 
To find the age of the astronaut, use the time dilation formula. (She can be viewed as a moving clock.)
 
what would her son's age be then?..is it 80 years +(0.02)(40years)=80.8years??
 
it's how long it would take from the sons perspective for her to get there. That is simple. it takes light 40 years to get there and she is traveling 0.9 times the speed of light so it would, using simple speed/time/distance type workings 40/0.9 = 44.445 years to get there. Then she has to travel back so you double it giving 88.89.
 
makes sense:) thankyou
 
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