{"id":"vidhyamitra:city-day:rishikesh:2027-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2027-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2027-10-31","date_display":"October 31, 2027 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":2027,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461709.770833,"kali_year":5129,"ahargana":1873244.2708,"sun":{"sidereal_longitude":192.3849,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":212.6604,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.2756,"elapsed_within_tithi_degrees":8.2756},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.6604,"elapsed_within_degrees":12.6604},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.0453},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2027,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461709.770833,"ahargana":1873244.2708,"kali_year":5129,"ayanamsa_lahiri":24.2418,"grahas":{"sun":{"sidereal_longitude":193.142241,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":211.58994099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":-4.3219},"mars":{"sidereal_longitude":226.26854100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":175.245541,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":145.668841,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":213.80234099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":359.152741,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":286.5038,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":106.5038,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2027,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461709.770833,"kali_year":5129,"ahargana":1873244.2708,"sun":{"sidereal_longitude":192.3849,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":212.6604,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.2756,"elapsed_within_tithi_degrees":8.2756},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.6604,"elapsed_within_degrees":12.6604},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.0453},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.322,"elongation":20.276},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.322,"opposition_distance":159.724}},"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":"06:30","sunsetLocal":"17:31","solarNoonLocal":"12:00","dayLengthHours":11.028219796121341,"dayLengthDisplay":"11 Hours 01 Mins 42 Secs","nightLengthDisplay":"12 Hours 58 Mins 18 Secs","moonriseLocal":"07:58","moonsetLocal":"18:31","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:31","startHours":16.1435294310367,"endHours":17.522056905551867,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:00","end":"13:23","startHours":12.007947007491197,"endHours":13.386474482006363,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:46","end":"16:09","startHours":14.76500195652153,"endHours":16.1435294310367,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:26","startHours":9.067088395192172,"endHours":9.43469572172955,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:15","startHours":6.953346267602248,"endHours":7.24743212883215,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:23","startHours":11.640339680953819,"endHours":12.375554334028575,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:01","end":"05:46","startHours":5.023407803281013,"endHours":5.758622456355769,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:30","startHours":5.57481879308708,"endHours":6.493837109430525,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:35","startHours":13.845983640178087,"endHours":14.581198293252843,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.322056905551868,"endHours":17.722056905551867,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:59","startHours":17.522056905551867,"endHours":17.98156606372359,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.272056905551867,"endHours":19.022056905551867,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:23","startHours":23.64033968095382,"endHours":24.375554334028575,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:30","end":"07:52","startHours":6.493837109430525,"endHours":7.872364583945693,"quality":"inauspicious"},{"name":"Chala","start":"07:52","end":"09:15","startHours":7.872364583945693,"endHours":9.25089205846086,"quality":"neutral"},{"name":"Labha","start":"09:15","end":"10:38","startHours":9.25089205846086,"endHours":10.629419532976028,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:00","startHours":10.629419532976028,"endHours":12.007947007491197,"quality":"auspicious"},{"name":"Kāla","start":"12:00","end":"13:23","startHours":12.007947007491197,"endHours":13.386474482006363,"quality":"inauspicious"},{"name":"Śubha","start":"13:23","end":"14:46","startHours":13.386474482006363,"endHours":14.76500195652153,"quality":"auspicious"},{"name":"Roga","start":"14:46","end":"16:09","startHours":14.76500195652153,"endHours":16.1435294310367,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:31","startHours":16.1435294310367,"endHours":17.522056905551867,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:31","end":"19:09","startHours":17.522056905551867,"endHours":19.1435294310367,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:46","startHours":19.1435294310367,"endHours":20.76500195652153,"quality":"inauspicious"},{"name":"Udveg","start":"20:46","end":"22:23","startHours":20.76500195652153,"endHours":22.386474482006363,"quality":"inauspicious"},{"name":"Chala","start":"22:23","end":"00:00","startHours":22.386474482006363,"endHours":24.007947007491197,"quality":"neutral"},{"name":"Labha","start":"00:00","end":"01:38","startHours":24.007947007491197,"endHours":25.62941953297603,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:15","startHours":25.62941953297603,"endHours":27.250892058460863,"quality":"auspicious"},{"name":"Kāla","start":"03:15","end":"04:52","startHours":27.250892058460863,"endHours":28.872364583945693,"quality":"inauspicious"},{"name":"Śubha","start":"04:52","end":"06:30","startHours":28.872364583945693,"endHours":30.493837109430526,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.493837109430525,"endHours":7.493837109430525,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.493837109430525,"endHours":8.493837109430526,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.493837109430526,"endHours":9.493837109430526,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.493837109430526,"endHours":10.493837109430526,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.493837109430526,"endHours":11.493837109430526,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.493837109430526,"endHours":12.493837109430526,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.493837109430526,"endHours":13.493837109430526,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.493837109430526,"endHours":14.493837109430526,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.493837109430526,"endHours":15.493837109430526,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.493837109430526,"endHours":16.493837109430526,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.493837109430526,"endHours":17.493837109430526,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.493837109430526,"endHours":18.493837109430526,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.493837109430526,"endHours":19.493837109430526,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.493837109430526,"endHours":20.493837109430526,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.493837109430526,"endHours":21.493837109430526,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.493837109430526,"endHours":22.493837109430526,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.493837109430526,"endHours":23.493837109430526,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.493837109430526,"endHours":24.493837109430526,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.493837109430526,"endHours":25.493837109430526,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.493837109430526,"endHours":26.493837109430526,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.493837109430526,"endHours":27.493837109430526,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.493837109430526,"endHours":28.493837109430526,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.493837109430526,"endHours":29.493837109430526,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.493837109430526,"endHours":30.493837109430526,"planetary_lord":"Jupiter"}],"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","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"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":-13.974207000294417,"eotMinutes":16.45277955052819,"ayanamsa":24.2418}},"calendars":{"vikram_samvat":2084,"vikram_samvatsara":"Raudra","saka_samvat":1949,"saka_samvatsara":"Plavaṅga","bengali_samvat":1434,"malayalam_era":1203,"nanakshahi_year":558,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Dvitīyā · Vikram 2084 Raudra · Śaka 1949 Plavaṅga"},"festivals":[{"id":"bhai-dooj","name":"Bhāi Dūja / Bhrātṛ Dvitīyā","name_sanskrit":"भ्रातृ द्वितीया","tradition":"Pan-Hindu","associated_deity":"Yama + Yamunā (sister-brother)","significance":"Yamunā's reception of brother Yama; sisters welcome brothers. Day 5 of Diwali.","vrata":true,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":3},{"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":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 31, 2027 CE · Ṛṣikeśa · Vidhyamitra","description":"October 31, 2027 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 06:30, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2027-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2027-10-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2027-10-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2027-10-31","x-default":"https://vidhyamitra.com/city/rishikesh/2027-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T22:54:42.768Z","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":"2026-05-14T22:54:42.768Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T22:54:42.768Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}