{"id":"vidhyamitra:city-day:rishikesh:2020-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2020-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-10-10","date_display":"October 10, 2020 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":2020,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459132.770833,"kali_year":5122,"ahargana":1870667.2708,"sun":{"sidereal_longitude":172.268,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":86.4918,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.2238,"elapsed_within_tithi_degrees":10.2238},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.4918,"elapsed_within_degrees":6.4918},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.7598},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2020,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459132.770833,"ahargana":1870667.2708,"kali_year":5122,"ayanamsa_lahiri":24.1432,"grahas":{"sun":{"sidereal_longitude":173.059302,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":83.25710200000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":1.7889},"mars":{"sidereal_longitude":357.797102,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":196.58760200000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":264.42000200000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":134.02800200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":271.280702,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":63.0457,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":243.0457,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":2020,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459132.770833,"kali_year":5122,"ahargana":1870667.2708,"sun":{"sidereal_longitude":172.268,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":86.4918,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":274.2238,"elapsed_within_tithi_degrees":10.2238},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":86.4918,"elapsed_within_degrees":6.4918},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.7598},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.789,"elongation":85.776},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.789,"opposition_distance":94.224}},"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":"06:15","sunsetLocal":"17:51","solarNoonLocal":"12:03","dayLengthHours":11.604799885678123,"dayLengthDisplay":"11 Hours 36 Mins 17 Secs","nightLengthDisplay":"12 Hours 23 Mins 43 Secs","moonriseLocal":"23:06","moonsetLocal":"13:02","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:36","startHours":9.151902594047643,"endHours":10.60250257975741,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:30","end":"14:57","startHours":13.50370255117694,"endHours":14.954302536886704,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:15","end":"07:42","startHours":6.250702622628112,"endHours":7.701302608337878,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.958489262619674,"endHours":9.345315925475612,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:03","startHours":6.734235951198034,"endHours":7.043697281482784,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.666275902611234,"endHours":12.43992922832311,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:29","startHours":4.703395971204363,"endHours":5.477049296916237,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:15","startHours":5.283635965488268,"endHours":6.250702622628112,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:46","startHours":13.98723587974686,"endHours":14.760889205458735,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.655502508306235,"endHours":18.055502508306233,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:20","startHours":17.855502508306234,"endHours":18.339035836876157,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.605502508306234,"endHours":19.355502508306234,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.666275902611233,"endHours":24.43992922832311,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:15","end":"07:42","startHours":6.250702622628112,"endHours":7.701302608337878,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:09","startHours":7.701302608337878,"endHours":9.151902594047643,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:36","startHours":9.151902594047643,"endHours":10.60250257975741,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:03","startHours":10.60250257975741,"endHours":12.053102565467174,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"13:30","startHours":12.053102565467174,"endHours":13.50370255117694,"quality":"neutral"},{"name":"Labha","start":"13:30","end":"14:57","startHours":13.50370255117694,"endHours":14.954302536886704,"quality":"auspicious"},{"name":"Amṛta","start":"14:57","end":"16:24","startHours":14.954302536886704,"endHours":16.40490252259647,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:51","startHours":16.40490252259647,"endHours":17.855502508306234,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:51","end":"19:24","startHours":17.855502508306234,"endHours":19.40490252259647,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"20:57","startHours":19.40490252259647,"endHours":20.954302536886704,"quality":"auspicious"},{"name":"Kāla","start":"20:57","end":"22:30","startHours":20.954302536886704,"endHours":22.503702551176936,"quality":"inauspicious"},{"name":"Śubha","start":"22:30","end":"00:03","startHours":22.503702551176936,"endHours":24.05310256546717,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"01:36","startHours":24.05310256546717,"endHours":25.602502579757406,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:09","startHours":25.602502579757406,"endHours":27.15190259404764,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:42","startHours":27.15190259404764,"endHours":28.701302608337876,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:15","startHours":28.701302608337876,"endHours":30.25070262262811,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:15","end":"07:15","startHours":6.250702622628112,"endHours":7.250702622628112,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:15","end":"08:15","startHours":7.250702622628112,"endHours":8.250702622628111,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:15","end":"09:15","startHours":8.250702622628111,"endHours":9.250702622628111,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:15","end":"10:15","startHours":9.250702622628111,"endHours":10.250702622628111,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:15","end":"11:15","startHours":10.250702622628111,"endHours":11.250702622628111,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:15","end":"12:15","startHours":11.250702622628111,"endHours":12.250702622628111,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:15","end":"13:15","startHours":12.250702622628111,"endHours":13.250702622628111,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:15","end":"14:15","startHours":13.250702622628111,"endHours":14.250702622628111,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:15","end":"15:15","startHours":14.250702622628111,"endHours":15.250702622628111,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:15","end":"16:15","startHours":15.250702622628111,"endHours":16.25070262262811,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:15","end":"17:15","startHours":16.25070262262811,"endHours":17.25070262262811,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:15","end":"18:15","startHours":17.25070262262811,"endHours":18.25070262262811,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:15","end":"19:15","startHours":18.25070262262811,"endHours":19.25070262262811,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:15","end":"20:15","startHours":19.25070262262811,"endHours":20.25070262262811,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:15","end":"21:15","startHours":20.25070262262811,"endHours":21.25070262262811,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:15","end":"22:15","startHours":21.25070262262811,"endHours":22.25070262262811,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:15","end":"23:15","startHours":22.25070262262811,"endHours":23.25070262262811,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:15","end":"00:15","startHours":23.25070262262811,"endHours":24.25070262262811,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:15","end":"01:15","startHours":24.25070262262811,"endHours":25.25070262262811,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:15","end":"02:15","startHours":25.25070262262811,"endHours":26.25070262262811,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:15","end":"03:15","startHours":26.25070262262811,"endHours":27.25070262262811,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:15","end":"04:15","startHours":27.25070262262811,"endHours":28.25070262262811,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:15","end":"05:15","startHours":28.25070262262811,"endHours":29.25070262262811,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:15","end":"06:15","startHours":29.25070262262811,"endHours":30.25070262262811,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-6.755301367297372,"eotMinutes":13.743446071969673,"ayanamsa":24.1432}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Aṣṭamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 10, 2020 CE · Ṛṣikeśa · Vidhyamitra","description":"October 10, 2020 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 06:15, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2020-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2020-10-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2020-10-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2020-10-10","x-default":"https://vidhyamitra.com/city/rishikesh/2020-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:54:13.367Z","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":"2026-05-15T16:54:13.367Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:54:13.367Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}