{"id":"vidhyamitra:city-day:ranchi:2137-10-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2137-10-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-10-17","date_display":"October 17, 2137 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2137,"month":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501872.770833,"kali_year":5239,"ahargana":1913407.2708,"sun":{"sidereal_longitude":176.9511,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":202.4147,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.4636,"elapsed_within_tithi_degrees":1.4636},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.4147,"elapsed_within_degrees":2.4147},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.3658},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2137,"month":10,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501872.770833,"ahargana":1913407.2708,"kali_year":5239,"ayanamsa_lahiri":25.7778,"grahas":{"sun":{"sidereal_longitude":178.01941899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":204.63551899999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":-4.0417},"mars":{"sidereal_longitude":108.015019,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":198.18861900000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":218.51221899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":164.39941899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":261.3731190000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":318.4748,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":138.4748,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2137,"month":10,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501872.770833,"kali_year":5239,"ahargana":1913407.2708,"sun":{"sidereal_longitude":176.9511,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":202.4147,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":25.4636,"elapsed_within_tithi_degrees":1.4636},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":202.4147,"elapsed_within_degrees":2.4147},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.3658},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.042,"elongation":25.464},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.042,"opposition_distance":154.536}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":1.319,"opposition_distance":2.706}]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:46","sunsetLocal":"17:21","solarNoonLocal":"11:34","dayLengthHours":11.586276665468695,"dayLengthDisplay":"11 Hours 35 Mins 11 Secs","nightLengthDisplay":"12 Hours 24 Mins 49 Secs","moonriseLocal":"07:49","moonsetLocal":"18:51","rahuKala":{"name":"Rāhu Kāla","start":"13:00","end":"14:27","startHours":13.007187590483122,"endHours":14.45547217366671,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:46","end":"07:13","startHours":5.765764674565188,"endHours":7.2140492577487745,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:40","end":"10:07","startHours":8.662333840932362,"endHours":10.110618424115948,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.469229229841217,"endHours":8.855438452023506,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:33","startHours":6.24852620229305,"endHours":6.557493580038882,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:57","startHours":11.172693785117245,"endHours":11.945112229481824,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:00","startHours":4.220927785836029,"endHours":4.993346230200608,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:46","startHours":4.800241619109463,"endHours":5.765764674565188,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:29","end":"14:16","startHours":13.489949118210983,"endHours":14.262367562575562,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.152041340033882,"endHours":17.55204134003388,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:50","startHours":17.35204134003388,"endHours":17.834802867761745,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.10204134003388,"endHours":18.85204134003388,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:57","startHours":23.172693785117243,"endHours":23.945112229481825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:46","end":"07:13","startHours":5.765764674565188,"endHours":7.2140492577487745,"quality":"auspicious"},{"name":"Roga","start":"07:13","end":"08:40","startHours":7.2140492577487745,"endHours":8.662333840932362,"quality":"inauspicious"},{"name":"Udveg","start":"08:40","end":"10:07","startHours":8.662333840932362,"endHours":10.110618424115948,"quality":"inauspicious"},{"name":"Chala","start":"10:07","end":"11:34","startHours":10.110618424115948,"endHours":11.558903007299534,"quality":"neutral"},{"name":"Labha","start":"11:34","end":"13:00","startHours":11.558903007299534,"endHours":13.007187590483122,"quality":"auspicious"},{"name":"Amṛta","start":"13:00","end":"14:27","startHours":13.007187590483122,"endHours":14.45547217366671,"quality":"auspicious"},{"name":"Kāla","start":"14:27","end":"15:54","startHours":14.45547217366671,"endHours":15.903756756850296,"quality":"inauspicious"},{"name":"Śubha","start":"15:54","end":"17:21","startHours":15.903756756850296,"endHours":17.35204134003388,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"18:54","startHours":17.35204134003388,"endHours":18.903756756850296,"quality":"auspicious"},{"name":"Kāla","start":"18:54","end":"20:27","startHours":18.903756756850296,"endHours":20.455472173666706,"quality":"inauspicious"},{"name":"Śubha","start":"20:27","end":"22:00","startHours":20.455472173666706,"endHours":22.00718759048312,"quality":"auspicious"},{"name":"Roga","start":"22:00","end":"23:34","startHours":22.00718759048312,"endHours":23.558903007299534,"quality":"inauspicious"},{"name":"Udveg","start":"23:34","end":"01:07","startHours":23.558903007299534,"endHours":25.11061842411595,"quality":"inauspicious"},{"name":"Chala","start":"01:07","end":"02:40","startHours":25.11061842411595,"endHours":26.662333840932362,"quality":"neutral"},{"name":"Labha","start":"02:40","end":"04:13","startHours":26.662333840932362,"endHours":28.214049257748773,"quality":"auspicious"},{"name":"Amṛta","start":"04:13","end":"05:46","startHours":28.214049257748773,"endHours":29.765764674565187,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.765764674565188,"endHours":6.765764674565188,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.765764674565188,"endHours":7.765764674565188,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.765764674565188,"endHours":8.765764674565187,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.765764674565187,"endHours":9.765764674565187,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.765764674565187,"endHours":10.765764674565187,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.765764674565187,"endHours":11.765764674565187,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.765764674565187,"endHours":12.765764674565187,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.765764674565187,"endHours":13.765764674565187,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.765764674565187,"endHours":14.765764674565187,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.765764674565187,"endHours":15.765764674565187,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.765764674565187,"endHours":16.765764674565187,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.765764674565187,"endHours":17.765764674565187,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.765764674565187,"endHours":18.765764674565187,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.765764674565187,"endHours":19.765764674565187,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.765764674565187,"endHours":20.765764674565187,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.765764674565187,"endHours":21.765764674565187,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.765764674565187,"endHours":22.765764674565187,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.765764674565187,"endHours":23.765764674565187,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.765764674565187,"endHours":24.765764674565187,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.765764674565187,"endHours":25.765764674565187,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.765764674565187,"endHours":26.765764674565187,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.765764674565187,"endHours":27.765764674565187,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.765764674565187,"endHours":28.765764674565187,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.765764674565187,"endHours":29.765764674565187,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.235071712030404,"eotMinutes":15.227419562027912,"ayanamsa":25.7778}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 17, 2137 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 17, 2137 CE for Ranchi, Jharkhand: Śukla Tṛtīyā, sūryodaya 05:46, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2137-10-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2137-10-17","sa":"https://sa.vidhyamitra.com/city/ranchi/2137-10-17","hi":"https://hi.vidhyamitra.com/city/ranchi/2137-10-17","x-default":"https://vidhyamitra.com/city/ranchi/2137-10-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:57:18.329Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-02T20:57:18.329Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:57:18.329Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}