Earth's detection capabilities for Earth-like planets

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Recent research suggests that Earth could potentially detect Earth-like planets up to 12,000 light-years away through its strong radio emissions, particularly via targeted radar beams akin to those from the Arecibo observatory. However, for such detection to occur accurately, astronomers would need focused attention on the target planet as these emissions are intermittent. Currently, Earth's radio emissions have only been broadcast for approximately 50 years, limiting detection to around 50 light-years. Additionally, other methods of detection, like atmospheric analysis, are effective only at much shorter ranges (around 5 light-years). This raises intriguing questions about our ability to find extraterrestrial civilizations and the implications for interstellar communication and safety.
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