{"id":"vidhyamitra:city-day:vrindavan:2041-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2041-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-05-31","date_display":"May 31, 2041 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":2041,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466670.770833,"kali_year":5143,"ahargana":1878205.2708,"sun":{"sidereal_longitude":45.3446,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":60.607,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.2624,"elapsed_within_tithi_degrees":3.2624},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.607,"elapsed_within_degrees":7.2737},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.9516},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2041,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466670.770833,"ahargana":1878205.2708,"kali_year":5143,"ayanamsa_lahiri":24.4315,"grahas":{"sun":{"sidereal_longitude":45.56019500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":58.61719500000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":2.7039},"mars":{"sidereal_longitude":8.208495000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":53.146795,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":177.61359500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":359.122295,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":172.79959499999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":23.6462,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":203.6462,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466670.770833,"kali_year":5143,"ahargana":1878205.2708,"sun":{"sidereal_longitude":45.3446,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":60.607,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.2624,"elapsed_within_tithi_degrees":3.2624},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":60.607,"elapsed_within_degrees":7.2737},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.9516},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.704,"elongation":15.262},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.704,"opposition_distance":164.738}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":-0.457,"opposition_distance":0.75}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:24","sunsetLocal":"19:10","solarNoonLocal":"12:17","dayLengthHours":13.757328986862035,"dayLengthDisplay":"13 Hours 45 Mins 26 Secs","nightLengthDisplay":"10 Hours 14 Mins 34 Secs","moonriseLocal":"06:14","moonsetLocal":"20:04","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:17","startHours":10.561387764006582,"endHours":12.281053887364337,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:43","end":"17:26","startHours":15.720386134079845,"endHours":17.4400522574376,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:07","end":"08:51","startHours":7.122055517291073,"endHours":8.841721640648828,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.612432824201127,"endHours":9.071010457096527,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.97561143505257,"endHours":6.342473541368891,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:44","startHours":11.822476254468935,"endHours":12.739631520259739,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:29","startHours":3.5680788623517135,"endHours":4.485234128142516,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.255945311694815,"endHours":5.402389393933318,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:29","startHours":14.573942051841343,"endHours":15.491097317632144,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.959718380795355,"endHours":19.359718380795353,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:44","startHours":19.159718380795354,"endHours":19.732940421914606,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.909718380795354,"endHours":20.659718380795354,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:44","startHours":23.822476254468935,"endHours":24.73963152025974,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:24","end":"07:07","startHours":5.402389393933318,"endHours":7.122055517291073,"quality":"neutral"},{"name":"Labha","start":"07:07","end":"08:51","startHours":7.122055517291073,"endHours":8.841721640648828,"quality":"auspicious"},{"name":"Amṛta","start":"08:51","end":"10:34","startHours":8.841721640648828,"endHours":10.561387764006582,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:17","startHours":10.561387764006582,"endHours":12.281053887364337,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"14:00","startHours":12.281053887364337,"endHours":14.000720010722091,"quality":"auspicious"},{"name":"Roga","start":"14:00","end":"15:43","startHours":14.000720010722091,"endHours":15.720386134079845,"quality":"inauspicious"},{"name":"Udveg","start":"15:43","end":"17:26","startHours":15.720386134079845,"endHours":17.4400522574376,"quality":"inauspicious"},{"name":"Chala","start":"17:26","end":"19:10","startHours":17.4400522574376,"endHours":19.159718380795354,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:10","end":"20:26","startHours":19.159718380795354,"endHours":20.4400522574376,"quality":"inauspicious"},{"name":"Udveg","start":"20:26","end":"21:43","startHours":20.4400522574376,"endHours":21.720386134079845,"quality":"inauspicious"},{"name":"Chala","start":"21:43","end":"23:00","startHours":21.720386134079845,"endHours":23.00072001072209,"quality":"neutral"},{"name":"Labha","start":"23:00","end":"00:17","startHours":23.00072001072209,"endHours":24.281053887364337,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:34","startHours":24.281053887364337,"endHours":25.561387764006582,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"02:51","startHours":25.561387764006582,"endHours":26.841721640648828,"quality":"inauspicious"},{"name":"Śubha","start":"02:51","end":"04:07","startHours":26.841721640648828,"endHours":28.122055517291074,"quality":"auspicious"},{"name":"Roga","start":"04:07","end":"05:24","startHours":28.122055517291074,"endHours":29.40238939393332,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.402389393933318,"endHours":6.402389393933318,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.402389393933318,"endHours":7.402389393933318,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.402389393933318,"endHours":8.40238939393332,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.40238939393332,"endHours":9.40238939393332,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.40238939393332,"endHours":10.40238939393332,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.40238939393332,"endHours":11.40238939393332,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.40238939393332,"endHours":12.40238939393332,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.40238939393332,"endHours":13.40238939393332,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.40238939393332,"endHours":14.40238939393332,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.40238939393332,"endHours":15.40238939393332,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.40238939393332,"endHours":16.40238939393332,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40238939393332,"endHours":17.40238939393332,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40238939393332,"endHours":18.40238939393332,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40238939393332,"endHours":19.40238939393332,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40238939393332,"endHours":20.40238939393332,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40238939393332,"endHours":21.40238939393332,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40238939393332,"endHours":22.40238939393332,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40238939393332,"endHours":23.40238939393332,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40238939393332,"endHours":24.40238939393332,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40238939393332,"endHours":25.40238939393332,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40238939393332,"endHours":26.40238939393332,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40238939393332,"endHours":27.40238939393332,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40238939393332,"endHours":28.40238939393332,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40238939393332,"endHours":29.40238939393332,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.945626900534204,"eotMinutes":2.4995667581397525,"ayanamsa":24.4315}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Dvitīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 31, 2041 CE · Vṛndāvana · Vidhyamitra","description":"May 31, 2041 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 05:24, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2041-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2041-05-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2041-05-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2041-05-31","x-default":"https://vidhyamitra.com/city/vrindavan/2041-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:04:34.786Z","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":"2026-06-03T03:04:34.786Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:04:34.786Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}