{"id":"vidhyamitra:city-day:rishikesh:2021-10-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-10-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-29","date_display":"October 29, 2021 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":2021,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459516.770833,"kali_year":5123,"ahargana":1871051.2708,"sun":{"sidereal_longitude":190.9332,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":106.76,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.8268,"elapsed_within_tithi_degrees":11.8268},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.76,"elapsed_within_degrees":0.0933},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.6932},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2021,"month":10,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459516.770833,"ahargana":1871051.2708,"kali_year":5123,"ayanamsa_lahiri":24.1579,"grahas":{"sun":{"sidereal_longitude":191.68173000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":103.91503,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":4.0459},"mars":{"sidereal_longitude":184.47912999999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":173.74842999999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":298.3463300000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":238.37082999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":283.02763000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.6995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.6995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459516.770833,"kali_year":5123,"ahargana":1871051.2708,"sun":{"sidereal_longitude":190.9332,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":106.76,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.8268,"elapsed_within_tithi_degrees":11.8268},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.76,"elapsed_within_degrees":0.0933},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.6932},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.046,"elongation":84.173},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.046,"opposition_distance":95.827}},"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":"06:28","sunsetLocal":"17:33","solarNoonLocal":"12:00","dayLengthHours":11.0698002717761,"dayLengthDisplay":"11 Hours 04 Mins 11 Secs","nightLengthDisplay":"12 Hours 55 Mins 49 Secs","moonriseLocal":"23:22","moonsetLocal":"12:56","rahuKala":{"name":"Rāhu Kāla","start":"10:37","end":"12:00","startHours":10.624545051377602,"endHours":12.008270085349615,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:47","end":"16:10","startHours":14.775720153293637,"endHours":16.15944518726565,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:51","end":"09:14","startHours":7.857094983433576,"endHours":9.24082001740559,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:26","startHours":9.056323346209322,"endHours":9.425316688601857,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:14","startHours":6.934611627452235,"endHours":7.229806301366264,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:23","startHours":11.639276742957076,"endHours":12.37726342774215,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:44","startHours":4.997396579891418,"endHours":5.735383264676491,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:28","startHours":5.5508865934802225,"endHours":6.473369949461564,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:35","startHours":13.853236797312297,"endHours":14.59122348209737,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.343170221237663,"endHours":17.743170221237662,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"18:00","startHours":17.543170221237663,"endHours":18.004411899228334,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.293170221237663,"endHours":19.043170221237663,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:23","startHours":23.63927674295708,"endHours":24.37726342774215,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:28","end":"07:51","startHours":6.473369949461564,"endHours":7.857094983433576,"quality":"neutral"},{"name":"Labha","start":"07:51","end":"09:14","startHours":7.857094983433576,"endHours":9.24082001740559,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:37","startHours":9.24082001740559,"endHours":10.624545051377602,"quality":"auspicious"},{"name":"Kāla","start":"10:37","end":"12:00","startHours":10.624545051377602,"endHours":12.008270085349615,"quality":"inauspicious"},{"name":"Śubha","start":"12:00","end":"13:24","startHours":12.008270085349615,"endHours":13.391995119321628,"quality":"auspicious"},{"name":"Roga","start":"13:24","end":"14:47","startHours":13.391995119321628,"endHours":14.775720153293637,"quality":"inauspicious"},{"name":"Udveg","start":"14:47","end":"16:10","startHours":14.775720153293637,"endHours":16.15944518726565,"quality":"inauspicious"},{"name":"Chala","start":"16:10","end":"17:33","startHours":16.15944518726565,"endHours":17.543170221237663,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:33","end":"19:10","startHours":17.543170221237663,"endHours":19.15944518726565,"quality":"inauspicious"},{"name":"Udveg","start":"19:10","end":"20:47","startHours":19.15944518726565,"endHours":20.775720153293637,"quality":"inauspicious"},{"name":"Chala","start":"20:47","end":"22:24","startHours":20.775720153293637,"endHours":22.391995119321628,"quality":"neutral"},{"name":"Labha","start":"22:24","end":"00:00","startHours":22.391995119321628,"endHours":24.008270085349615,"quality":"auspicious"},{"name":"Amṛta","start":"00:00","end":"01:37","startHours":24.008270085349615,"endHours":25.624545051377602,"quality":"auspicious"},{"name":"Kāla","start":"01:37","end":"03:14","startHours":25.624545051377602,"endHours":27.24082001740559,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:51","startHours":27.24082001740559,"endHours":28.857094983433576,"quality":"auspicious"},{"name":"Roga","start":"04:51","end":"06:28","startHours":28.857094983433576,"endHours":30.473369949461564,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:28","end":"07:28","startHours":6.473369949461564,"endHours":7.473369949461564,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:28","end":"08:28","startHours":7.473369949461564,"endHours":8.473369949461564,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:28","end":"09:28","startHours":8.473369949461564,"endHours":9.473369949461564,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:28","end":"10:28","startHours":9.473369949461564,"endHours":10.473369949461564,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:28","end":"11:28","startHours":10.473369949461564,"endHours":11.473369949461564,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:28","end":"12:28","startHours":11.473369949461564,"endHours":12.473369949461564,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:28","end":"13:28","startHours":12.473369949461564,"endHours":13.473369949461564,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:28","end":"14:28","startHours":13.473369949461564,"endHours":14.473369949461564,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:28","end":"15:28","startHours":14.473369949461564,"endHours":15.473369949461564,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:28","end":"16:28","startHours":15.473369949461564,"endHours":16.473369949461564,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:28","end":"17:28","startHours":16.473369949461564,"endHours":17.473369949461564,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:28","end":"18:28","startHours":17.473369949461564,"endHours":18.473369949461564,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:28","end":"19:28","startHours":18.473369949461564,"endHours":19.473369949461564,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:28","end":"20:28","startHours":19.473369949461564,"endHours":20.473369949461564,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:28","end":"21:28","startHours":20.473369949461564,"endHours":21.473369949461564,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:28","end":"22:28","startHours":21.473369949461564,"endHours":22.473369949461564,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:28","end":"23:28","startHours":22.473369949461564,"endHours":23.473369949461564,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:28","end":"00:28","startHours":23.473369949461564,"endHours":24.473369949461564,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:28","end":"01:28","startHours":24.473369949461564,"endHours":25.473369949461564,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:28","end":"02:28","startHours":25.473369949461564,"endHours":26.473369949461564,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:28","end":"03:28","startHours":26.473369949461564,"endHours":27.473369949461564,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:28","end":"04:28","startHours":27.473369949461564,"endHours":28.473369949461564,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:28","end":"05:28","startHours":28.473369949461564,"endHours":29.473369949461564,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:28","end":"06:28","startHours":29.473369949461564,"endHours":30.473369949461564,"planetary_lord":"Mars"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Ānanda","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":-13.46667268864246,"eotMinutes":16.433394879023222,"ayanamsa":24.1579}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Aṣṭamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"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":"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 Kṛṣṇa Aṣṭamī","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 October 29, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"October 29, 2021 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 06:28, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-10-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-10-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-10-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-10-29","x-default":"https://vidhyamitra.com/city/rishikesh/2021-10-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T05:18:46.136Z","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":"2026-05-15T05:18:46.136Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T05:18:46.136Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}