{"id":"vidhyamitra:city-day:rishikesh:2137-11-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2137-11-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-11-01","date_display":"November 1, 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":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501887.770833,"kali_year":5239,"ahargana":1913422.2708,"sun":{"sidereal_longitude":191.9201,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":50.864,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.9439,"elapsed_within_tithi_degrees":2.9439},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.864,"elapsed_within_degrees":10.864},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.7841},"karana":{"half_tithi_index":36,"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":2137,"month":11,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501887.770833,"ahargana":1913422.2708,"kali_year":5239,"ayanamsa_lahiri":25.7784,"grahas":{"sun":{"sidereal_longitude":192.94454599999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":49.20584600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":4.493},"mars":{"sidereal_longitude":116.212446,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":214.703846,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":221.52244599999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":183.16934600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":262.15884600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":317.6801,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":137.6801,"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":11,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501887.770833,"kali_year":5239,"ahargana":1913422.2708,"sun":{"sidereal_longitude":191.9201,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":50.864,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.9439,"elapsed_within_tithi_degrees":2.9439},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":50.864,"elapsed_within_degrees":10.864},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.7841},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.493,"elongation":141.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.493,"opposition_distance":38.944}},"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":"06:31","sunsetLocal":"17:30","solarNoonLocal":"12:00","dayLengthHours":10.992625675701465,"dayLengthDisplay":"10 Hours 59 Mins 33 Secs","nightLengthDisplay":"13 Hours 00 Mins 27 Secs","moonriseLocal":"19:27","moonsetLocal":"09:24","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:00","startHours":10.6340445752491,"endHours":12.008122784711782,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:45","end":"16:08","startHours":14.756279203637149,"endHours":16.13035741309983,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:53","end":"09:16","startHours":7.885888156323732,"endHours":9.259966365786415,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.076755937858058,"endHours":9.443176793714773,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.969836016681944,"endHours":7.262972701367316,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:22","startHours":11.641701928855067,"endHours":12.374543640568497,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:47","startHours":5.046126523434188,"endHours":5.778968235147619,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:31","startHours":5.595757807219261,"endHours":6.5118099468610495,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:34","startHours":13.84022706399536,"endHours":14.573068775708792,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.304435622562515,"endHours":17.704435622562514,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:58","startHours":17.504435622562514,"endHours":17.96246169238341,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.254435622562514,"endHours":19.004435622562514,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:22","startHours":23.641701928855063,"endHours":24.374543640568497,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:31","end":"07:53","startHours":6.5118099468610495,"endHours":7.885888156323732,"quality":"neutral"},{"name":"Labha","start":"07:53","end":"09:16","startHours":7.885888156323732,"endHours":9.259966365786415,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:38","startHours":9.259966365786415,"endHours":10.6340445752491,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:00","startHours":10.6340445752491,"endHours":12.008122784711782,"quality":"inauspicious"},{"name":"Śubha","start":"12:00","end":"13:23","startHours":12.008122784711782,"endHours":13.382200994174465,"quality":"auspicious"},{"name":"Roga","start":"13:23","end":"14:45","startHours":13.382200994174465,"endHours":14.756279203637149,"quality":"inauspicious"},{"name":"Udveg","start":"14:45","end":"16:08","startHours":14.756279203637149,"endHours":16.13035741309983,"quality":"inauspicious"},{"name":"Chala","start":"16:08","end":"17:30","startHours":16.13035741309983,"endHours":17.504435622562514,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:30","end":"19:08","startHours":17.504435622562514,"endHours":19.13035741309983,"quality":"inauspicious"},{"name":"Udveg","start":"19:08","end":"20:45","startHours":19.13035741309983,"endHours":20.75627920363715,"quality":"inauspicious"},{"name":"Chala","start":"20:45","end":"22:23","startHours":20.75627920363715,"endHours":22.382200994174465,"quality":"neutral"},{"name":"Labha","start":"22:23","end":"00:00","startHours":22.382200994174465,"endHours":24.00812278471178,"quality":"auspicious"},{"name":"Amṛta","start":"00:00","end":"01:38","startHours":24.00812278471178,"endHours":25.6340445752491,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:16","startHours":25.6340445752491,"endHours":27.259966365786415,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:53","startHours":27.259966365786415,"endHours":28.88588815632373,"quality":"auspicious"},{"name":"Roga","start":"04:53","end":"06:31","startHours":28.88588815632373,"endHours":30.51180994686105,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.5118099468610495,"endHours":7.5118099468610495,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.5118099468610495,"endHours":8.51180994686105,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.51180994686105,"endHours":9.51180994686105,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.51180994686105,"endHours":10.51180994686105,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.51180994686105,"endHours":11.51180994686105,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.51180994686105,"endHours":12.51180994686105,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.51180994686105,"endHours":13.51180994686105,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.51180994686105,"endHours":14.51180994686105,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.51180994686105,"endHours":15.51180994686105,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.51180994686105,"endHours":16.51180994686105,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.51180994686105,"endHours":17.51180994686105,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.51180994686105,"endHours":18.51180994686105,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.51180994686105,"endHours":19.51180994686105,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.51180994686105,"endHours":20.51180994686105,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.51180994686105,"endHours":21.51180994686105,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.51180994686105,"endHours":22.51180994686105,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.51180994686105,"endHours":23.51180994686105,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.51180994686105,"endHours":24.51180994686105,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.51180994686105,"endHours":25.51180994686105,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.51180994686105,"endHours":26.51180994686105,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.51180994686105,"endHours":27.51180994686105,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.51180994686105,"endHours":28.51180994686105,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.51180994686105,"endHours":29.51180994686105,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.51180994686105,"endHours":30.51180994686105,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"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":-14.40672619772624,"eotMinutes":16.442232917293087,"ayanamsa":25.7784}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Caturthī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"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 November 1, 2137 CE · Ṛṣikeśa · Vidhyamitra","description":"November 1, 2137 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:31, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2137-11-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2137-11-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2137-11-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2137-11-01","x-default":"https://vidhyamitra.com/city/rishikesh/2137-11-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T01:25:17.800Z","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":"2026-05-27T01:25:17.800Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T01:25:17.800Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}