{"id":"vidhyamitra:city-day:rishikesh:-3137-10-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/-3137-10-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-10-24","date_display":"October 24, 3138 BCE","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":-3137,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575564.770833,"kali_year":-35,"ahargana":-12900.7292,"sun":{"sidereal_longitude":244.4939,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.99,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.4961,"elapsed_within_tithi_degrees":4.4961},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.99,"elapsed_within_degrees":3.6567},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.4839},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3137,"month":10,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575564.770833,"ahargana":-12900.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8962,"grahas":{"sun":{"sidereal_longitude":244.4939,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":296.99,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":2.0099},"mars":{"sidereal_longitude":117.6045,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":222.2764,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":0.0049,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":230.4803,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":278.3451,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":143.5427,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":323.5427,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575564.770833,"kali_year":-35,"ahargana":-12900.7292,"sun":{"sidereal_longitude":244.4939,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.99,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.4961,"elapsed_within_tithi_degrees":4.4961},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.99,"elapsed_within_degrees":3.6567},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.4839},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.01,"elongation":52.496},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.01,"opposition_distance":127.504}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:12","sunsetLocal":"17:49","solarNoonLocal":"12:01","dayLengthHours":11.622904615862101,"dayLengthDisplay":"11 Hours 37 Mins 22 Secs","nightLengthDisplay":"12 Hours 22 Mins 38 Secs","moonriseLocal":"10:21","moonsetLocal":"20:40","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:01","startHours":10.560087754992402,"endHours":12.012950831975164,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:55","end":"16:22","startHours":14.918676985940692,"endHours":16.371540062923454,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:39","end":"09:06","startHours":7.654361601026878,"endHours":9.10722467800964,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:18","startHours":8.913509601078605,"endHours":9.300939754940675,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.685786216371702,"endHours":6.995730339461359,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:24","startHours":11.625520678113096,"endHours":12.400380985837236,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.651777908595834,"endHours":5.426638216319975,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:12","startHours":5.23292313938894,"endHours":6.201498524044115,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.950101601285514,"endHours":14.724961909009654,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.624403139906217,"endHours":18.024403139906216,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:19","startHours":17.824403139906217,"endHours":18.308690832233804,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.574403139906217,"endHours":19.324403139906217,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:24","startHours":23.625520678113098,"endHours":24.400380985837238,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:12","end":"07:39","startHours":6.201498524044115,"endHours":7.654361601026878,"quality":"neutral"},{"name":"Labha","start":"07:39","end":"09:06","startHours":7.654361601026878,"endHours":9.10722467800964,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:34","startHours":9.10722467800964,"endHours":10.560087754992402,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:01","startHours":10.560087754992402,"endHours":12.012950831975164,"quality":"inauspicious"},{"name":"Śubha","start":"12:01","end":"13:28","startHours":12.012950831975164,"endHours":13.465813908957927,"quality":"auspicious"},{"name":"Roga","start":"13:28","end":"14:55","startHours":13.465813908957927,"endHours":14.918676985940692,"quality":"inauspicious"},{"name":"Udveg","start":"14:55","end":"16:22","startHours":14.918676985940692,"endHours":16.371540062923454,"quality":"inauspicious"},{"name":"Chala","start":"16:22","end":"17:49","startHours":16.371540062923454,"endHours":17.824403139906217,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:49","end":"19:22","startHours":17.824403139906217,"endHours":19.371540062923454,"quality":"inauspicious"},{"name":"Udveg","start":"19:22","end":"20:55","startHours":19.371540062923454,"endHours":20.918676985940692,"quality":"inauspicious"},{"name":"Chala","start":"20:55","end":"22:28","startHours":20.918676985940692,"endHours":22.465813908957927,"quality":"neutral"},{"name":"Labha","start":"22:28","end":"00:01","startHours":22.465813908957927,"endHours":24.012950831975168,"quality":"auspicious"},{"name":"Amṛta","start":"00:01","end":"01:34","startHours":24.012950831975168,"endHours":25.560087754992402,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"03:06","startHours":25.560087754992402,"endHours":27.10722467800964,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:39","startHours":27.10722467800964,"endHours":28.654361601026878,"quality":"auspicious"},{"name":"Roga","start":"04:39","end":"06:12","startHours":28.654361601026878,"endHours":30.201498524044116,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.201498524044115,"endHours":7.201498524044115,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.201498524044115,"endHours":8.201498524044116,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.201498524044116,"endHours":9.201498524044116,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.201498524044116,"endHours":10.201498524044116,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.201498524044116,"endHours":11.201498524044116,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.201498524044116,"endHours":12.201498524044116,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.201498524044116,"endHours":13.201498524044116,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.201498524044116,"endHours":14.201498524044116,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.201498524044116,"endHours":15.201498524044116,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.201498524044116,"endHours":16.201498524044116,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.201498524044116,"endHours":17.201498524044116,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.201498524044116,"endHours":18.201498524044116,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.201498524044116,"endHours":19.201498524044116,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.201498524044116,"endHours":20.201498524044116,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.201498524044116,"endHours":21.201498524044116,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.201498524044116,"endHours":22.201498524044116,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.201498524044116,"endHours":23.201498524044116,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.201498524044116,"endHours":24.201498524044116,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.201498524044116,"endHours":25.201498524044116,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.201498524044116,"endHours":26.201498524044116,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.201498524044116,"endHours":27.201498524044116,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.201498524044116,"endHours":28.201498524044116,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.201498524044116,"endHours":29.201498524044116,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.201498524044116,"endHours":30.201498524044116,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.523587468595421,"eotMinutes":16.152550081490062,"ayanamsa":-47.8962}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 24, 3138 BCE · Ṛṣikeśa · Vidhyamitra","description":"October 24, 3138 BCE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:12, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/-3137-10-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/-3137-10-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/-3137-10-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/-3137-10-24","x-default":"https://vidhyamitra.com/city/rishikesh/-3137-10-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:39:04.272Z","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":"2026-05-31T13:39:04.272Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:39:04.272Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}