{"id":"vidhyamitra:city-day:vrindavan:2024-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2024-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-05-13","date_display":"May 13, 2024 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":2024,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460443.770833,"kali_year":5126,"ahargana":1871978.2708,"sun":{"sidereal_longitude":28.5273,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":90.2877,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.7604,"elapsed_within_tithi_degrees":1.7604},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.2877,"elapsed_within_degrees":10.2877},"yoga":{"number":9,"name":"Śūla","sum_longitude":118.8151},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2024,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460443.770833,"ahargana":1871978.2708,"kali_year":5126,"ayanamsa_lahiri":24.1933,"grahas":{"sun":{"sidereal_longitude":28.590711999999996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":90.78511200000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.4692},"mars":{"sidereal_longitude":344.971412,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":2.1577120000000036,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":32.78111200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":22.206412,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":323.50231199999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":353.5826,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":173.5826,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2024,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460443.770833,"kali_year":5126,"ahargana":1871978.2708,"sun":{"sidereal_longitude":28.5273,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":90.2877,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.7604,"elapsed_within_tithi_degrees":1.7604},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.2877,"elapsed_within_degrees":10.2877},"yoga":{"number":9,"name":"Śūla","sum_longitude":118.8151},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.469,"elongation":61.76},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.469,"opposition_distance":118.24}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-1.28,"opposition_distance":0.923}]},"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":"05:31","sunsetLocal":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.472866615732961,"dayLengthDisplay":"13 Hours 28 Mins 22 Secs","nightLengthDisplay":"10 Hours 31 Mins 38 Secs","moonriseLocal":"09:35","moonsetLocal":"23:14","rahuKala":{"name":"Rāhu Kāla","start":"07:12","end":"08:54","startHours":7.207831040040865,"endHours":8.891939367007485,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:35","end":"12:16","startHours":10.576047693974106,"endHours":12.260156020940727,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:38","startHours":13.944264347907346,"endHours":15.628372674873965,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.667391590078603,"endHours":9.116487143936368,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.085092155396452,"endHours":6.444368598482664,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.811060467082962,"endHours":12.709251574798492,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7273404976431834,"endHours":4.625531605358715,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.4009838284298315,"endHours":5.523722713074245,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.505633790229552,"endHours":15.403824897945084,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.796589328807208,"endHours":19.196589328807207,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.996589328807207,"endHours":19.557958771129414,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.746589328807207,"endHours":20.496589328807207,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.81106046708296,"endHours":24.709251574798493,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:31","end":"07:12","startHours":5.523722713074245,"endHours":7.207831040040865,"quality":"auspicious"},{"name":"Kāla","start":"07:12","end":"08:54","startHours":7.207831040040865,"endHours":8.891939367007485,"quality":"inauspicious"},{"name":"Śubha","start":"08:54","end":"10:35","startHours":8.891939367007485,"endHours":10.576047693974106,"quality":"auspicious"},{"name":"Roga","start":"10:35","end":"12:16","startHours":10.576047693974106,"endHours":12.260156020940727,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.944264347907346,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:38","startHours":13.944264347907346,"endHours":15.628372674873965,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:19","startHours":15.628372674873965,"endHours":17.312481001840588,"quality":"auspicious"},{"name":"Amṛta","start":"17:19","end":"19:00","startHours":17.312481001840588,"endHours":18.996589328807207,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:00","end":"20:19","startHours":18.996589328807207,"endHours":20.312481001840588,"quality":"neutral"},{"name":"Labha","start":"20:19","end":"21:38","startHours":20.312481001840588,"endHours":21.628372674873965,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"22:57","startHours":21.628372674873965,"endHours":22.944264347907346,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:16","startHours":22.944264347907346,"endHours":24.260156020940727,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:35","startHours":24.260156020940727,"endHours":25.576047693974107,"quality":"auspicious"},{"name":"Roga","start":"01:35","end":"02:54","startHours":25.576047693974107,"endHours":26.891939367007488,"quality":"inauspicious"},{"name":"Udveg","start":"02:54","end":"04:12","startHours":26.891939367007488,"endHours":28.207831040040865,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"05:31","startHours":28.207831040040865,"endHours":29.523722713074246,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.523722713074245,"endHours":6.523722713074245,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.523722713074245,"endHours":7.523722713074245,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.523722713074245,"endHours":8.523722713074246,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.523722713074246,"endHours":9.523722713074246,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.523722713074246,"endHours":10.523722713074246,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.523722713074246,"endHours":11.523722713074246,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.523722713074246,"endHours":12.523722713074246,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.523722713074246,"endHours":13.523722713074246,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.523722713074246,"endHours":14.523722713074246,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.523722713074246,"endHours":15.523722713074246,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.523722713074246,"endHours":16.523722713074246,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.523722713074246,"endHours":17.523722713074246,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.523722713074246,"endHours":18.523722713074246,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.523722713074246,"endHours":19.523722713074246,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.523722713074246,"endHours":20.523722713074246,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.523722713074246,"endHours":21.523722713074246,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.523722713074246,"endHours":22.523722713074246,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.523722713074246,"endHours":23.523722713074246,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.523722713074246,"endHours":24.523722713074246,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.523722713074246,"endHours":25.523722713074246,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.523722713074246,"endHours":26.523722713074246,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.523722713074246,"endHours":27.523722713074246,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.523722713074246,"endHours":28.523722713074246,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.523722713074246,"endHours":29.523722713074246,"planetary_lord":"Venus"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.4658089484757,"eotMinutes":3.7534387435564067,"ayanamsa":24.1933}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Ṣaṣṭhī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 13, 2024 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 2024 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2024-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2024-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2024-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2024-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/2024-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:29:08.597Z","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":"2026-05-14T17:29:08.597Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:29:08.597Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}