{"id":"vidhyamitra:city-day:rishikesh:2101-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2101-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-10-21","date_display":"October 21, 2101 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":2101,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488727.770833,"kali_year":5203,"ahargana":1900262.2708,"sun":{"sidereal_longitude":181.2414,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":158.1369,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":336.8955,"elapsed_within_tithi_degrees":0.8955},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.1369,"elapsed_within_degrees":11.4702},"yoga":{"number":26,"name":"Indra","sum_longitude":339.3783},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2101,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488727.770833,"ahargana":1900262.2708,"kali_year":5203,"ayanamsa_lahiri":25.2751,"grahas":{"sun":{"sidereal_longitude":182.21305499999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":159.43875500000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-3.0774},"mars":{"sidereal_longitude":61.10755499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":168.72855500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":210.04675499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":226.52105499999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":193.24525500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":294.9602,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.9602,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"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":2101,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488727.770833,"kali_year":5203,"ahargana":1900262.2708,"sun":{"sidereal_longitude":181.2414,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":158.1369,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":336.8955,"elapsed_within_tithi_degrees":0.8955},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":158.1369,"elapsed_within_degrees":11.4702},"yoga":{"number":26,"name":"Indra","sum_longitude":339.3783},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.077,"elongation":23.105},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.077,"opposition_distance":156.895}},"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":"06:22","sunsetLocal":"17:40","solarNoonLocal":"12:01","dayLengthHours":11.303021513890283,"dayLengthDisplay":"11 Hours 18 Mins 11 Secs","nightLengthDisplay":"12 Hours 41 Mins 49 Secs","moonriseLocal":"04:32","moonsetLocal":"16:28","rahuKala":{"name":"Rāhu Kāla","start":"10:36","end":"12:01","startHours":10.605458634651969,"endHours":12.018336323888255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:51","end":"16:15","startHours":14.844091702360824,"endHours":16.25696939159711,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:47","end":"09:12","startHours":7.779703256179399,"endHours":9.192580945415685,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.004197253517512,"endHours":9.380964637313856,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.837784796688542,"endHours":7.139198703725616,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:24","startHours":11.641568940091911,"endHours":12.395103707684598,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:37","startHours":4.859756031757742,"endHours":5.613290799350428,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:22","startHours":5.424907107452256,"endHours":6.366825566943113,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.902173242869967,"endHours":14.655708010462652,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.469847080833397,"endHours":17.869847080833395,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:08","startHours":17.669847080833396,"endHours":18.140806310578824,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.419847080833396,"endHours":19.169847080833396,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:24","startHours":23.641568940091915,"endHours":24.395103707684598,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:22","end":"07:47","startHours":6.366825566943113,"endHours":7.779703256179399,"quality":"neutral"},{"name":"Labha","start":"07:47","end":"09:12","startHours":7.779703256179399,"endHours":9.192580945415685,"quality":"auspicious"},{"name":"Amṛta","start":"09:12","end":"10:36","startHours":9.192580945415685,"endHours":10.605458634651969,"quality":"auspicious"},{"name":"Kāla","start":"10:36","end":"12:01","startHours":10.605458634651969,"endHours":12.018336323888255,"quality":"inauspicious"},{"name":"Śubha","start":"12:01","end":"13:26","startHours":12.018336323888255,"endHours":13.43121401312454,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:51","startHours":13.43121401312454,"endHours":14.844091702360824,"quality":"inauspicious"},{"name":"Udveg","start":"14:51","end":"16:15","startHours":14.844091702360824,"endHours":16.25696939159711,"quality":"inauspicious"},{"name":"Chala","start":"16:15","end":"17:40","startHours":16.25696939159711,"endHours":17.669847080833396,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:40","end":"19:15","startHours":17.669847080833396,"endHours":19.25696939159711,"quality":"inauspicious"},{"name":"Udveg","start":"19:15","end":"20:51","startHours":19.25696939159711,"endHours":20.844091702360824,"quality":"inauspicious"},{"name":"Chala","start":"20:51","end":"22:26","startHours":20.844091702360824,"endHours":22.43121401312454,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:01","startHours":22.43121401312454,"endHours":24.018336323888256,"quality":"auspicious"},{"name":"Amṛta","start":"00:01","end":"01:36","startHours":24.018336323888256,"endHours":25.605458634651967,"quality":"auspicious"},{"name":"Kāla","start":"01:36","end":"03:12","startHours":25.605458634651967,"endHours":27.192580945415685,"quality":"inauspicious"},{"name":"Śubha","start":"03:12","end":"04:47","startHours":27.192580945415685,"endHours":28.7797032561794,"quality":"auspicious"},{"name":"Roga","start":"04:47","end":"06:22","startHours":28.7797032561794,"endHours":30.366825566943113,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.366825566943113,"endHours":7.366825566943113,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.366825566943113,"endHours":8.366825566943113,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.366825566943113,"endHours":9.366825566943113,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.366825566943113,"endHours":10.366825566943113,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.366825566943113,"endHours":11.366825566943113,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.366825566943113,"endHours":12.366825566943113,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.366825566943113,"endHours":13.366825566943113,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.366825566943113,"endHours":14.366825566943113,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.366825566943113,"endHours":15.366825566943113,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.366825566943113,"endHours":16.366825566943113,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.366825566943113,"endHours":17.366825566943113,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.366825566943113,"endHours":18.366825566943113,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.366825566943113,"endHours":19.366825566943113,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.366825566943113,"endHours":20.366825566943113,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.366825566943113,"endHours":21.366825566943113,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.366825566943113,"endHours":22.366825566943113,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.366825566943113,"endHours":23.366825566943113,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.366825566943113,"endHours":24.366825566943113,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.366825566943113,"endHours":25.366825566943113,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.366825566943113,"endHours":26.366825566943113,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.366825566943113,"endHours":27.366825566943113,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.366825566943113,"endHours":28.366825566943113,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.366825566943113,"endHours":29.366825566943113,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.366825566943113,"endHours":30.366825566943113,"planetary_lord":"Mars"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.578323901810505,"eotMinutes":15.829420566704727,"ayanamsa":25.2751}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Caturdaśī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[{"id":"naraka-chaturdashi","name":"Naraka Caturdaśī (Choṭī Diwālī)","name_sanskrit":"नरक चतुर्दशी","tradition":"Vaishnava","associated_deity":"Krishna (Narakāsura-vadha)","significance":"Krishna slew Narakāsura, freeing 16,000 captive princesses. Day 2 of Diwali.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.59"]},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"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":[]},"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 October 21, 2101 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 2101 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 06:22, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2101-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2101-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2101-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2101-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/2101-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:47:31.205Z","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":"2026-05-31T18:47:31.205Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:47:31.205Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}