{"id":"vidhyamitra:city-day:rishikesh:2071-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2071-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2071-10-13","date_display":"October 13, 2071 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2071,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477762.770833,"kali_year":5173,"ahargana":1889297.2708,"sun":{"sidereal_longitude":174.0534,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":41.4355,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.3821,"elapsed_within_tithi_degrees":11.3821},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.4355,"elapsed_within_degrees":1.4355},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.4889},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2071,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477762.770833,"ahargana":1889297.2708,"kali_year":5173,"ayanamsa_lahiri":24.8557,"grahas":{"sun":{"sidereal_longitude":174.96589900000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":42.30239899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.094},"mars":{"sidereal_longitude":81.49379899999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":192.669399,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":39.75009899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":127.73599899999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":187.14199899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":155.9387,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":335.9387,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2071,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477762.770833,"kali_year":5173,"ahargana":1889297.2708,"sun":{"sidereal_longitude":174.0534,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":41.4355,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.3821,"elapsed_within_tithi_degrees":11.3821},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.4355,"elapsed_within_degrees":1.4355},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.4889},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.094,"elongation":132.618},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.094,"opposition_distance":47.382}},"eclipse_window_40days":[{"offset_days":-4,"type":"lunar","occurs":true,"moon_latitude":-0.877,"opposition_distance":2.692}]},"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":"06:17","sunsetLocal":"17:48","solarNoonLocal":"12:02","dayLengthHours":11.526794612659012,"dayLengthDisplay":"11 Hours 31 Mins 36 Secs","nightLengthDisplay":"12 Hours 28 Mins 24 Secs","moonriseLocal":"20:16","moonsetLocal":"10:08","rahuKala":{"name":"Rāhu Kāla","start":"14:55","end":"16:22","startHours":14.92315149969683,"endHours":16.364000826279206,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:10","end":"10:36","startHours":9.159754193367323,"endHours":10.6006035199497,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:02","end":"13:29","startHours":12.041452846532078,"endHours":13.482302173114453,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.967640949823007,"endHours":9.35186743691164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:04","startHours":6.758338649063363,"endHours":7.06571983873427,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:26","startHours":11.657226359443444,"endHours":12.425679333620712,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:44","end":"05:31","startHours":4.7411495918480355,"endHours":5.509602566025303,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:17","startHours":5.317489322480986,"endHours":6.278055540202571,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:44","startHours":13.962585281975246,"endHours":14.731038256152512,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.604850152861584,"endHours":18.004850152861582,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:17","startHours":17.804850152861583,"endHours":18.285133261722375,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.554850152861583,"endHours":19.304850152861583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:26","startHours":23.657226359443445,"endHours":24.42567933362071,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:17","end":"07:43","startHours":6.278055540202571,"endHours":7.718904866784947,"quality":"inauspicious"},{"name":"Udveg","start":"07:43","end":"09:10","startHours":7.718904866784947,"endHours":9.159754193367323,"quality":"inauspicious"},{"name":"Chala","start":"09:10","end":"10:36","startHours":9.159754193367323,"endHours":10.6006035199497,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:02","startHours":10.6006035199497,"endHours":12.041452846532078,"quality":"auspicious"},{"name":"Amṛta","start":"12:02","end":"13:29","startHours":12.041452846532078,"endHours":13.482302173114453,"quality":"auspicious"},{"name":"Kāla","start":"13:29","end":"14:55","startHours":13.482302173114453,"endHours":14.92315149969683,"quality":"inauspicious"},{"name":"Śubha","start":"14:55","end":"16:22","startHours":14.92315149969683,"endHours":16.364000826279206,"quality":"auspicious"},{"name":"Roga","start":"16:22","end":"17:48","startHours":16.364000826279206,"endHours":17.804850152861583,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:48","end":"19:22","startHours":17.804850152861583,"endHours":19.364000826279206,"quality":"inauspicious"},{"name":"Śubha","start":"19:22","end":"20:55","startHours":19.364000826279206,"endHours":20.92315149969683,"quality":"auspicious"},{"name":"Roga","start":"20:55","end":"22:29","startHours":20.92315149969683,"endHours":22.482302173114455,"quality":"inauspicious"},{"name":"Udveg","start":"22:29","end":"00:02","startHours":22.482302173114455,"endHours":24.041452846532078,"quality":"inauspicious"},{"name":"Chala","start":"00:02","end":"01:36","startHours":24.041452846532078,"endHours":25.6006035199497,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:10","startHours":25.6006035199497,"endHours":27.159754193367323,"quality":"auspicious"},{"name":"Amṛta","start":"03:10","end":"04:43","startHours":27.159754193367323,"endHours":28.718904866784946,"quality":"auspicious"},{"name":"Kāla","start":"04:43","end":"06:17","startHours":28.718904866784946,"endHours":30.278055540202573,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.278055540202571,"endHours":7.278055540202571,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.278055540202571,"endHours":8.27805554020257,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.27805554020257,"endHours":9.27805554020257,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.27805554020257,"endHours":10.27805554020257,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.27805554020257,"endHours":11.27805554020257,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.27805554020257,"endHours":12.27805554020257,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.27805554020257,"endHours":13.27805554020257,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.27805554020257,"endHours":14.27805554020257,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.27805554020257,"endHours":15.27805554020257,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.27805554020257,"endHours":16.278055540202573,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.278055540202573,"endHours":17.278055540202573,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.278055540202573,"endHours":18.278055540202573,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.278055540202573,"endHours":19.278055540202573,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.278055540202573,"endHours":20.278055540202573,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.278055540202573,"endHours":21.278055540202573,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.278055540202573,"endHours":22.278055540202573,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.278055540202573,"endHours":23.278055540202573,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.278055540202573,"endHours":24.278055540202573,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.278055540202573,"endHours":25.278055540202573,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.278055540202573,"endHours":26.278055540202573,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.278055540202573,"endHours":27.278055540202573,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.278055540202573,"endHours":28.278055540202573,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.278055540202573,"endHours":29.278055540202573,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.278055540202573,"endHours":30.278055540202573,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.7509944286129215,"eotMinutes":14.442429208075392,"ayanamsa":24.8557}},"calendars":{"vikram_samvat":2128,"vikram_samvatsara":"Krodhi","saka_samvat":1993,"saka_samvatsara":"Khara","bengali_samvat":1478,"malayalam_era":1247,"nanakshahi_year":602,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Caturthī · Vikram 2128 Krodhi · Śaka 1993 Khara"},"festivals":[{"id":"karva-chauth","name":"Karvā Chauth","name_sanskrit":"करवा चौथ","tradition":"Pan-Hindu","associated_deity":"Pārvatī + Gaṇeśa + Chandra","significance":"North Indian wives' fast for husband's longevity. Kṛṣṇa Caturthī of Kārtika.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Karvā Chauth · Aṅgāraka Caturthī (Tuesday Caturthī) · Saṅkaṣṭī Caturthī is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 13, 2071 CE · Ṛṣikeśa · Vidhyamitra","description":"October 13, 2071 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:17, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2071-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2071-10-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2071-10-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2071-10-13","x-default":"https://vidhyamitra.com/city/rishikesh/2071-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-05T02:02:53.325Z","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":"2026-09-05T02:02:53.325Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-05T02:02:53.325Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}