{"id":"vidhyamitra:city-day:rishikesh:2031-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2031-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2031-10-16","date_display":"October 16, 2031 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":2031,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463155.770833,"kali_year":5133,"ahargana":1874690.2708,"sun":{"sidereal_longitude":177.3762,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":172.6338,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.2576,"elapsed_within_tithi_degrees":7.2576},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.6338,"elapsed_within_degrees":12.6338},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.01},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2031,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463155.770833,"ahargana":1874690.2708,"kali_year":5133,"ayanamsa_lahiri":24.2971,"grahas":{"sun":{"sidereal_longitude":178.186694,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":174.44109400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-2.7223},"mars":{"sidereal_longitude":249.12499400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":192.41709400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":240.057094,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":131.45899399999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":58.445494,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":209.8878,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.8878,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2031,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463155.770833,"kali_year":5133,"ahargana":1874690.2708,"sun":{"sidereal_longitude":177.3762,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":172.6338,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.2576,"elapsed_within_tithi_degrees":7.2576},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.6338,"elapsed_within_degrees":12.6338},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.01},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.722,"elongation":4.742},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.722,"opposition_distance":175.258}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":1.494,"opposition_distance":1.604}]},"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":"06:18","sunsetLocal":"17:45","solarNoonLocal":"12:02","dayLengthHours":11.448246764571444,"dayLengthDisplay":"11 Hours 26 Mins 54 Secs","nightLengthDisplay":"12 Hours 33 Mins 06 Secs","moonriseLocal":"06:01","moonsetLocal":"17:33","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"14:54","startHours":13.462395352718413,"endHours":14.893426198289845,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:18","end":"07:44","startHours":6.307241124861261,"endHours":7.738271970432692,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:10","end":"10:36","startHours":9.169302816004123,"endHours":10.600333661575553,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.978498703261264,"endHours":9.36010692874698,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.784251406718405,"endHours":7.089537987106977,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.649756281661267,"endHours":12.412972732632698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.780808222918402,"endHours":5.544024673889831,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:18","startHours":5.3532205611469745,"endHours":6.307241124861261,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:42","startHours":13.939405634575557,"endHours":14.702622085546986,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.555487889432705,"endHours":17.955487889432703,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:14","startHours":17.755487889432704,"endHours":18.232498171289848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.505487889432704,"endHours":19.255487889432704,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.64975628166127,"endHours":24.412972732632696,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:18","end":"07:44","startHours":6.307241124861261,"endHours":7.738271970432692,"quality":"auspicious"},{"name":"Roga","start":"07:44","end":"09:10","startHours":7.738271970432692,"endHours":9.169302816004123,"quality":"inauspicious"},{"name":"Udveg","start":"09:10","end":"10:36","startHours":9.169302816004123,"endHours":10.600333661575553,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:02","startHours":10.600333661575553,"endHours":12.031364507146982,"quality":"neutral"},{"name":"Labha","start":"12:02","end":"13:28","startHours":12.031364507146982,"endHours":13.462395352718413,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"14:54","startHours":13.462395352718413,"endHours":14.893426198289845,"quality":"auspicious"},{"name":"Kāla","start":"14:54","end":"16:19","startHours":14.893426198289845,"endHours":16.324457043861273,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:45","startHours":16.324457043861273,"endHours":17.755487889432704,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:45","end":"19:19","startHours":17.755487889432704,"endHours":19.324457043861273,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"20:54","startHours":19.324457043861273,"endHours":20.893426198289845,"quality":"inauspicious"},{"name":"Śubha","start":"20:54","end":"22:28","startHours":20.893426198289845,"endHours":22.462395352718413,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"00:02","startHours":22.462395352718413,"endHours":24.031364507146982,"quality":"inauspicious"},{"name":"Udveg","start":"00:02","end":"01:36","startHours":24.031364507146982,"endHours":25.60033366157555,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"03:10","startHours":25.60033366157555,"endHours":27.16930281600412,"quality":"neutral"},{"name":"Labha","start":"03:10","end":"04:44","startHours":27.16930281600412,"endHours":28.73827197043269,"quality":"auspicious"},{"name":"Amṛta","start":"04:44","end":"06:18","startHours":28.73827197043269,"endHours":30.30724112486126,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.307241124861261,"endHours":7.307241124861261,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.307241124861261,"endHours":8.30724112486126,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.30724112486126,"endHours":9.30724112486126,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.30724112486126,"endHours":10.30724112486126,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.30724112486126,"endHours":11.30724112486126,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.30724112486126,"endHours":12.30724112486126,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.30724112486126,"endHours":13.30724112486126,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.30724112486126,"endHours":14.30724112486126,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.30724112486126,"endHours":15.30724112486126,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.30724112486126,"endHours":16.30724112486126,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.30724112486126,"endHours":17.30724112486126,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.30724112486126,"endHours":18.30724112486126,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.30724112486126,"endHours":19.30724112486126,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.30724112486126,"endHours":20.30724112486126,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.30724112486126,"endHours":21.30724112486126,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.30724112486126,"endHours":22.30724112486126,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.30724112486126,"endHours":23.30724112486126,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.30724112486126,"endHours":24.30724112486126,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.30724112486126,"endHours":25.30724112486126,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.30724112486126,"endHours":26.30724112486126,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.30724112486126,"endHours":27.30724112486126,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.30724112486126,"endHours":28.30724112486126,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.30724112486126,"endHours":29.30724112486126,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.30724112486126,"endHours":30.30724112486126,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"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":-8.748741849348358,"eotMinutes":15.04772957118102,"ayanamsa":24.2971}},"calendars":{"vikram_samvat":2088,"vikram_samvatsara":"Raktākṣī","saka_samvat":1953,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1438,"malayalam_era":1207,"nanakshahi_year":562,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Amāvasyā · Vikram 2088 Raktākṣī · Śaka 1953 Virodhakṛt"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","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 16, 2031 CE · Ṛṣikeśa · Vidhyamitra","description":"October 16, 2031 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 06:18, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2031-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2031-10-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2031-10-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2031-10-16","x-default":"https://vidhyamitra.com/city/rishikesh/2031-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T08:17:30.185Z","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":"2026-05-15T08:17:30.185Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T08:17:30.185Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}