{"id":"vidhyamitra:city-day:rishikesh:2039-03-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-03-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-03-31","date_display":"March 31, 2039 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":2039,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465878.770833,"kali_year":5140,"ahargana":1877413.2708,"sun":{"sidereal_longitude":345.873,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":58.4473,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.5743,"elapsed_within_tithi_degrees":0.5743},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.4473,"elapsed_within_degrees":5.114},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.3204},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2039,"month":3,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465878.770833,"ahargana":1877413.2708,"kali_year":5140,"ayanamsa_lahiri":24.4012,"grahas":{"sun":{"sidereal_longitude":345.794755,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":55.31415500000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-0.5605},"mars":{"sidereal_longitude":304.22895500000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":318.78645499999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":116.58405499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":23.050155000000018,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":149.730455,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":65.6102,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":245.6102,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"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":2039,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465878.770833,"kali_year":5140,"ahargana":1877413.2708,"sun":{"sidereal_longitude":345.873,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":58.4473,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.5743,"elapsed_within_tithi_degrees":0.5743},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.4473,"elapsed_within_degrees":5.114},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.3204},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.561,"elongation":72.574},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.561,"opposition_distance":107.426}},"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":"06:08","sunsetLocal":"18:35","solarNoonLocal":"12:22","dayLengthHours":12.441314542655196,"dayLengthDisplay":"12 Hours 26 Mins 29 Secs","nightLengthDisplay":"11 Hours 33 Mins 31 Secs","moonriseLocal":"10:00","moonsetLocal":"00:00","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:28","startHours":13.91501934143334,"endHours":15.470183659265242,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:08","end":"07:42","startHours":6.1391977522738435,"endHours":7.694362070105743,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:15","end":"10:48","startHours":9.249526387937642,"endHours":10.804690705769541,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:27","startHours":9.042171145560056,"endHours":9.456881630315229,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:59","startHours":6.65758585821781,"endHours":6.989354246021948,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:46","startHours":11.94514453884627,"endHours":12.774565508356615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:29","end":"05:19","startHours":4.4803558132531505,"endHours":5.309776782763497,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:06","end":"06:08","startHours":5.102421540385911,"endHours":6.1391977522738435,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:16","startHours":14.433407447377306,"endHours":15.262828416887652,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.38051229492904,"endHours":18.78051229492904,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:06","startHours":18.58051229492904,"endHours":19.098900400873006,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.33051229492904,"endHours":20.08051229492904,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:46","startHours":23.945144538846268,"endHours":24.774565508356613,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:08","end":"07:42","startHours":6.1391977522738435,"endHours":7.694362070105743,"quality":"auspicious"},{"name":"Roga","start":"07:42","end":"09:15","startHours":7.694362070105743,"endHours":9.249526387937642,"quality":"inauspicious"},{"name":"Udveg","start":"09:15","end":"10:48","startHours":9.249526387937642,"endHours":10.804690705769541,"quality":"inauspicious"},{"name":"Chala","start":"10:48","end":"12:22","startHours":10.804690705769541,"endHours":12.35985502360144,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:55","startHours":12.35985502360144,"endHours":13.91501934143334,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:28","startHours":13.91501934143334,"endHours":15.470183659265242,"quality":"auspicious"},{"name":"Kāla","start":"15:28","end":"17:02","startHours":15.470183659265242,"endHours":17.02534797709714,"quality":"inauspicious"},{"name":"Śubha","start":"17:02","end":"18:35","startHours":17.02534797709714,"endHours":18.58051229492904,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:35","end":"20:02","startHours":18.58051229492904,"endHours":20.02534797709714,"quality":"auspicious"},{"name":"Kāla","start":"20:02","end":"21:28","startHours":20.02534797709714,"endHours":21.470183659265242,"quality":"inauspicious"},{"name":"Śubha","start":"21:28","end":"22:55","startHours":21.470183659265242,"endHours":22.915019341433343,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:22","startHours":22.915019341433343,"endHours":24.35985502360144,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:48","startHours":24.35985502360144,"endHours":25.804690705769545,"quality":"inauspicious"},{"name":"Chala","start":"01:48","end":"03:15","startHours":25.804690705769545,"endHours":27.249526387937642,"quality":"neutral"},{"name":"Labha","start":"03:15","end":"04:42","startHours":27.249526387937642,"endHours":28.694362070105743,"quality":"auspicious"},{"name":"Amṛta","start":"04:42","end":"06:08","startHours":28.694362070105743,"endHours":30.139197752273844,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:08","end":"07:08","startHours":6.1391977522738435,"endHours":7.1391977522738435,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:08","end":"08:08","startHours":7.1391977522738435,"endHours":8.139197752273844,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:08","end":"09:08","startHours":8.139197752273844,"endHours":9.139197752273844,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:08","end":"10:08","startHours":9.139197752273844,"endHours":10.139197752273844,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:08","end":"11:08","startHours":10.139197752273844,"endHours":11.139197752273844,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:08","end":"12:08","startHours":11.139197752273844,"endHours":12.139197752273844,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:08","end":"13:08","startHours":12.139197752273844,"endHours":13.139197752273844,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:08","end":"14:08","startHours":13.139197752273844,"endHours":14.139197752273844,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:08","end":"15:08","startHours":14.139197752273844,"endHours":15.139197752273844,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:08","end":"16:08","startHours":15.139197752273844,"endHours":16.139197752273844,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:08","end":"17:08","startHours":16.139197752273844,"endHours":17.139197752273844,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:08","end":"18:08","startHours":17.139197752273844,"endHours":18.139197752273844,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:08","end":"19:08","startHours":18.139197752273844,"endHours":19.139197752273844,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:08","end":"20:08","startHours":19.139197752273844,"endHours":20.139197752273844,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:08","end":"21:08","startHours":20.139197752273844,"endHours":21.139197752273844,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:08","end":"22:08","startHours":21.139197752273844,"endHours":22.139197752273844,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:08","end":"23:08","startHours":22.139197752273844,"endHours":23.139197752273844,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:08","end":"00:08","startHours":23.139197752273844,"endHours":24.139197752273844,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:08","end":"01:08","startHours":24.139197752273844,"endHours":25.139197752273844,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:08","end":"02:08","startHours":25.139197752273844,"endHours":26.139197752273844,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:08","end":"03:08","startHours":26.139197752273844,"endHours":27.139197752273844,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:08","end":"04:08","startHours":27.139197752273844,"endHours":28.139197752273844,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:08","end":"05:08","startHours":28.139197752273844,"endHours":29.139197752273844,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:08","end":"06:08","startHours":29.139197752273844,"endHours":30.139197752273844,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.037232966978872,"eotMinutes":-4.661701416086492,"ayanamsa":24.4012}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Saptamī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"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":[]},"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 March 31, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"March 31, 2039 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 06:08, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-03-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-03-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-03-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-03-31","x-default":"https://vidhyamitra.com/city/rishikesh/2039-03-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:18:22.201Z","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":"2026-05-31T18:18:22.201Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:18:22.201Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}