{"id":"vidhyamitra:city-day:rishikesh:2001-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2001-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-10-21","date_display":"October 21, 2001 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":2001,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452203.770833,"kali_year":5103,"ahargana":1863738.2708,"sun":{"sidereal_longitude":183.1103,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":237.4496,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.3393,"elapsed_within_tithi_degrees":6.3393},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":237.4496,"elapsed_within_degrees":10.7829},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.5598},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2001,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452203.770833,"ahargana":1863738.2708,"kali_year":5103,"ayanamsa_lahiri":23.8782,"grahas":{"sun":{"sidereal_longitude":183.83604000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":238.49604,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":0.9905},"mars":{"sidereal_longitude":271.59244,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":170.76423999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":81.45943999999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":163.02193999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":50.49054000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":70.1775,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.1775,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":2001,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452203.770833,"kali_year":5103,"ahargana":1863738.2708,"sun":{"sidereal_longitude":183.1103,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":237.4496,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.3393,"elapsed_within_tithi_degrees":6.3393},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":237.4496,"elapsed_within_degrees":10.7829},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.5598},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.99,"elongation":54.339},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.99,"opposition_distance":125.661}},"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":11.296545696286762,"dayLengthDisplay":"11 Hours 17 Mins 48 Secs","nightLengthDisplay":"12 Hours 42 Mins 12 Secs","moonriseLocal":"10:34","moonsetLocal":"20:45","rahuKala":{"name":"Rāhu Kāla","start":"16:15","end":"17:40","startHours":16.25454095999579,"endHours":17.666609172031635,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:01","end":"13:26","startHours":12.018336323888253,"endHours":13.430404535924099,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:15","startHours":14.842472747959944,"endHours":16.25454095999579,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.005924138211784,"endHours":9.382475661421342,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:09","startHours":6.840752879756821,"endHours":7.141994098324468,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:24","startHours":11.641784800678696,"endHours":12.394887847097813,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:37","startHours":4.863857382906638,"endHours":5.616960429325755,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:26","end":"06:22","startHours":5.428684667720976,"endHours":6.370063475744873,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:39","startHours":13.901093939936047,"endHours":14.654196986355164,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.466609172031635,"endHours":17.866609172031634,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:08","startHours":17.666609172031635,"endHours":18.137298576043584,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.416609172031635,"endHours":19.166609172031635,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:24","startHours":23.641784800678696,"endHours":24.394887847097817,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:22","end":"07:47","startHours":6.370063475744873,"endHours":7.782131687780718,"quality":"inauspicious"},{"name":"Chala","start":"07:47","end":"09:12","startHours":7.782131687780718,"endHours":9.194199899816564,"quality":"neutral"},{"name":"Labha","start":"09:12","end":"10:36","startHours":9.194199899816564,"endHours":10.606268111852408,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"12:01","startHours":10.606268111852408,"endHours":12.018336323888253,"quality":"auspicious"},{"name":"Kāla","start":"12:01","end":"13:26","startHours":12.018336323888253,"endHours":13.430404535924099,"quality":"inauspicious"},{"name":"Śubha","start":"13:26","end":"14:51","startHours":13.430404535924099,"endHours":14.842472747959944,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:15","startHours":14.842472747959944,"endHours":16.25454095999579,"quality":"inauspicious"},{"name":"Udveg","start":"16:15","end":"17:40","startHours":16.25454095999579,"endHours":17.666609172031635,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:40","end":"19:15","startHours":17.666609172031635,"endHours":19.25454095999579,"quality":"auspicious"},{"name":"Roga","start":"19:15","end":"20:51","startHours":19.25454095999579,"endHours":20.842472747959945,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:26","startHours":20.842472747959945,"endHours":22.430404535924097,"quality":"inauspicious"},{"name":"Chala","start":"22:26","end":"00:01","startHours":22.430404535924097,"endHours":24.018336323888253,"quality":"neutral"},{"name":"Labha","start":"00:01","end":"01:36","startHours":24.018336323888253,"endHours":25.60626811185241,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:12","startHours":25.60626811185241,"endHours":27.194199899816564,"quality":"auspicious"},{"name":"Kāla","start":"03:12","end":"04:47","startHours":27.194199899816564,"endHours":28.78213168778072,"quality":"inauspicious"},{"name":"Śubha","start":"04:47","end":"06:22","startHours":28.78213168778072,"endHours":30.37006347574487,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.370063475744873,"endHours":7.370063475744873,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.370063475744873,"endHours":8.370063475744873,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.370063475744873,"endHours":9.370063475744873,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.370063475744873,"endHours":10.370063475744873,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.370063475744873,"endHours":11.370063475744873,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.370063475744873,"endHours":12.370063475744873,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.370063475744873,"endHours":13.370063475744873,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.370063475744873,"endHours":14.370063475744873,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.370063475744873,"endHours":15.370063475744873,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.370063475744873,"endHours":16.37006347574487,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.37006347574487,"endHours":17.37006347574487,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.37006347574487,"endHours":18.37006347574487,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.37006347574487,"endHours":19.37006347574487,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.37006347574487,"endHours":20.37006347574487,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.37006347574487,"endHours":21.37006347574487,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.37006347574487,"endHours":22.37006347574487,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.37006347574487,"endHours":23.37006347574487,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.37006347574487,"endHours":24.37006347574487,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.37006347574487,"endHours":25.37006347574487,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.37006347574487,"endHours":26.37006347574487,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.37006347574487,"endHours":27.37006347574487,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.37006347574487,"endHours":28.37006347574487,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.37006347574487,"endHours":29.37006347574487,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.37006347574487,"endHours":30.37006347574487,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-10.659400052766777,"eotMinutes":15.829420566704727,"ayanamsa":23.8782}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Pañcamī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"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}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 October 21, 2001 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 2001 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:22, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2001-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2001-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2001-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2001-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/2001-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T23:48:01.593Z","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":"2026-05-16T23:48:01.593Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T23:48:01.593Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}