{"id":"vidhyamitra:city-day:rishikesh:-3137-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/-3137-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-10-13","date_display":"October 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575553.770833,"kali_year":-35,"ahargana":-12911.7292,"sun":{"sidereal_longitude":233.2094,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":146.9408,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.7314,"elapsed_within_tithi_degrees":9.7314},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.9408,"elapsed_within_degrees":0.2741},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.1502},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575553.770833,"ahargana":-12911.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8966,"grahas":{"sun":{"sidereal_longitude":233.2094,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":146.9408,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":0.2208},"mars":{"sidereal_longitude":116.4192,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":219.3418,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":0.1306,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":216.6261,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":277.2376,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":144.1255,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":324.1255,"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":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575553.770833,"kali_year":-35,"ahargana":-12911.7292,"sun":{"sidereal_longitude":233.2094,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":146.9408,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.7314,"elapsed_within_tithi_degrees":9.7314},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.9408,"elapsed_within_degrees":0.2741},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.1502},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.221,"elongation":86.269},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.221,"opposition_distance":93.731}},"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":"06:04","sunsetLocal":"18:01","solarNoonLocal":"12:02","dayLengthHours":11.96533225476818,"dayLengthDisplay":"11 Hours 57 Mins 55 Secs","nightLengthDisplay":"12 Hours 02 Mins 05 Secs","moonriseLocal":"23:17","moonsetLocal":"13:18","rahuKala":{"name":"Rāhu Kāla","start":"07:33","end":"09:03","startHours":7.554453250994009,"endHours":9.050119782840031,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:33","end":"12:02","startHours":10.545786314686055,"endHours":12.041452846532078,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:32","end":"15:02","startHours":13.5371193783781,"endHours":15.032785910224122,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:15","startHours":8.850697578593895,"endHours":9.249541987086168,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.557342229763328,"endHours":6.876417756557146,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:26","startHours":11.642608438039804,"endHours":12.440297255024351,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:28","end":"05:16","startHours":4.463409085178896,"endHours":5.261097902163442,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:04","startHours":5.061675697917305,"endHours":6.058786719147987,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:50","startHours":14.03567488899344,"endHours":14.833363705977986,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:49","end":"18:13","startHours":17.824118973916168,"endHours":18.224118973916166,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:01","end":"18:31","startHours":18.024118973916167,"endHours":18.522674484531507,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:46","end":"19:31","startHours":17.774118973916167,"endHours":19.524118973916167,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:26","startHours":23.642608438039804,"endHours":24.44029725502435,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:04","end":"07:33","startHours":6.058786719147987,"endHours":7.554453250994009,"quality":"auspicious"},{"name":"Kāla","start":"07:33","end":"09:03","startHours":7.554453250994009,"endHours":9.050119782840031,"quality":"inauspicious"},{"name":"Śubha","start":"09:03","end":"10:33","startHours":9.050119782840031,"endHours":10.545786314686055,"quality":"auspicious"},{"name":"Roga","start":"10:33","end":"12:02","startHours":10.545786314686055,"endHours":12.041452846532078,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:32","startHours":12.041452846532078,"endHours":13.5371193783781,"quality":"inauspicious"},{"name":"Chala","start":"13:32","end":"15:02","startHours":13.5371193783781,"endHours":15.032785910224122,"quality":"neutral"},{"name":"Labha","start":"15:02","end":"16:32","startHours":15.032785910224122,"endHours":16.528452442070144,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"18:01","startHours":16.528452442070144,"endHours":18.024118973916167,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:01","end":"19:32","startHours":18.024118973916167,"endHours":19.528452442070144,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"21:02","startHours":19.528452442070144,"endHours":21.03278591022412,"quality":"auspicious"},{"name":"Amṛta","start":"21:02","end":"22:32","startHours":21.03278591022412,"endHours":22.5371193783781,"quality":"auspicious"},{"name":"Kāla","start":"22:32","end":"00:02","startHours":22.5371193783781,"endHours":24.041452846532078,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"01:33","startHours":24.041452846532078,"endHours":25.545786314686055,"quality":"auspicious"},{"name":"Roga","start":"01:33","end":"03:03","startHours":25.545786314686055,"endHours":27.05011978284003,"quality":"inauspicious"},{"name":"Udveg","start":"03:03","end":"04:33","startHours":27.05011978284003,"endHours":28.55445325099401,"quality":"inauspicious"},{"name":"Chala","start":"04:33","end":"06:04","startHours":28.55445325099401,"endHours":30.05878671914799,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.058786719147987,"endHours":7.058786719147987,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.058786719147987,"endHours":8.058786719147987,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.058786719147987,"endHours":9.058786719147987,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.058786719147987,"endHours":10.058786719147987,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.058786719147987,"endHours":11.058786719147987,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.058786719147987,"endHours":12.058786719147987,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.058786719147987,"endHours":13.058786719147987,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.058786719147987,"endHours":14.058786719147987,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.058786719147987,"endHours":15.058786719147987,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.058786719147987,"endHours":16.05878671914799,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.05878671914799,"endHours":17.05878671914799,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.05878671914799,"endHours":18.05878671914799,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.05878671914799,"endHours":19.05878671914799,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.05878671914799,"endHours":20.05878671914799,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.05878671914799,"endHours":21.05878671914799,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.05878671914799,"endHours":22.05878671914799,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.05878671914799,"endHours":23.05878671914799,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.05878671914799,"endHours":24.05878671914799,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.05878671914799,"endHours":25.05878671914799,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.05878671914799,"endHours":26.05878671914799,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.05878671914799,"endHours":27.05878671914799,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.05878671914799,"endHours":28.05878671914799,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.05878671914799,"endHours":29.05878671914799,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.05878671914799,"endHours":30.05878671914799,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-2.110523506606757,"eotMinutes":14.442429208075392,"ayanamsa":-47.8966}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 13, 3138 BCE · Ṛṣikeśa · Vidhyamitra","description":"October 13, 3138 BCE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 06:04, sūryāsta 18:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/-3137-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/-3137-10-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/-3137-10-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/-3137-10-13","x-default":"https://vidhyamitra.com/city/rishikesh/-3137-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:54:53.985Z","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":"2026-05-15T06:54:53.985Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:54:53.985Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}