{"id":"vidhyamitra:city-day:vrindavan:2064-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2064-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-03-13","date_display":"March 13, 2064 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":2064,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474992.770833,"kali_year":5165,"ahargana":1886527.2708,"sun":{"sidereal_longitude":328.5341,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":271.0353,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.5012,"elapsed_within_tithi_degrees":2.5012},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.0353,"elapsed_within_degrees":4.3686},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.5693},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2064,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2474992.770833,"ahargana":1886527.2708,"kali_year":5165,"ayanamsa_lahiri":24.7498,"grahas":{"sun":{"sidereal_longitude":328.507433,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":273.549033,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":-2.3609},"mars":{"sidereal_longitude":4.4363329999999905,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":345.526533,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":161.83593299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"venus":{"sidereal_longitude":309.06733299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":87.61493300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":302.7066,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.7066,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2064,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474992.770833,"kali_year":5165,"ahargana":1886527.2708,"sun":{"sidereal_longitude":328.5341,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":271.0353,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.5012,"elapsed_within_tithi_degrees":2.5012},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.0353,"elapsed_within_degrees":4.3686},"yoga":{"number":18,"name":"Varīyān","sum_longitude":239.5693},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.361,"elongation":57.499},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.361,"opposition_distance":122.501}},"eclipse_window_40days":[]},"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":"06:31","sunsetLocal":"18:28","solarNoonLocal":"12:30","dayLengthHours":11.938989568517492,"dayLengthDisplay":"11 Hours 56 Mins 20 Secs","nightLengthDisplay":"12 Hours 03 Mins 40 Secs","moonriseLocal":"03:32","moonsetLocal":"14:08","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:29","startHours":13.985385694878165,"endHours":15.477759390942852,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:31","end":"08:01","startHours":6.523517214554733,"endHours":8.015890910619419,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:30","end":"11:00","startHours":9.508264606684106,"endHours":11.000638302748794,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:42","startHours":9.309281447208814,"endHours":9.707247766159398,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:01","end":"07:20","startHours":7.020975113242962,"endHours":7.339348168403428,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:53","startHours":12.095045679862896,"endHours":12.890978317764063,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:44","startHours":4.931651938752401,"endHours":5.727584576653567,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:31","startHours":5.528601417178275,"endHours":6.523517214554733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:17","startHours":14.482843593566393,"endHours":15.278776231467559,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.262506783072226,"endHours":18.662506783072224,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:58","startHours":18.462506783072225,"endHours":18.959964681760454,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.212506783072225,"endHours":19.962506783072225,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:53","startHours":24.095045679862896,"endHours":24.890978317764063,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:31","end":"08:01","startHours":6.523517214554733,"endHours":8.015890910619419,"quality":"auspicious"},{"name":"Roga","start":"08:01","end":"09:30","startHours":8.015890910619419,"endHours":9.508264606684106,"quality":"inauspicious"},{"name":"Udveg","start":"09:30","end":"11:00","startHours":9.508264606684106,"endHours":11.000638302748794,"quality":"inauspicious"},{"name":"Chala","start":"11:00","end":"12:30","startHours":11.000638302748794,"endHours":12.49301199881348,"quality":"neutral"},{"name":"Labha","start":"12:30","end":"13:59","startHours":12.49301199881348,"endHours":13.985385694878165,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:29","startHours":13.985385694878165,"endHours":15.477759390942852,"quality":"auspicious"},{"name":"Kāla","start":"15:29","end":"16:58","startHours":15.477759390942852,"endHours":16.97013308700754,"quality":"inauspicious"},{"name":"Śubha","start":"16:58","end":"18:28","startHours":16.97013308700754,"endHours":18.462506783072225,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:28","end":"19:58","startHours":18.462506783072225,"endHours":19.97013308700754,"quality":"auspicious"},{"name":"Kāla","start":"19:58","end":"21:29","startHours":19.97013308700754,"endHours":21.47775939094285,"quality":"inauspicious"},{"name":"Śubha","start":"21:29","end":"22:59","startHours":21.47775939094285,"endHours":22.985385694878165,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:30","startHours":22.985385694878165,"endHours":24.49301199881348,"quality":"inauspicious"},{"name":"Udveg","start":"00:30","end":"02:00","startHours":24.49301199881348,"endHours":26.000638302748794,"quality":"inauspicious"},{"name":"Chala","start":"02:00","end":"03:30","startHours":26.000638302748794,"endHours":27.508264606684108,"quality":"neutral"},{"name":"Labha","start":"03:30","end":"05:01","startHours":27.508264606684108,"endHours":29.01589091061942,"quality":"auspicious"},{"name":"Amṛta","start":"05:01","end":"06:31","startHours":29.01589091061942,"endHours":30.523517214554733,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.523517214554733,"endHours":7.523517214554733,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.523517214554733,"endHours":8.523517214554733,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.523517214554733,"endHours":9.523517214554733,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.523517214554733,"endHours":10.523517214554733,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.523517214554733,"endHours":11.523517214554733,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.523517214554733,"endHours":12.523517214554733,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.523517214554733,"endHours":13.523517214554733,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.523517214554733,"endHours":14.523517214554733,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.523517214554733,"endHours":15.523517214554733,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.523517214554733,"endHours":16.523517214554733,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.523517214554733,"endHours":17.523517214554733,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.523517214554733,"endHours":18.523517214554733,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.523517214554733,"endHours":19.523517214554733,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.523517214554733,"endHours":20.523517214554733,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.523517214554733,"endHours":21.523517214554733,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.523517214554733,"endHours":22.523517214554733,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.523517214554733,"endHours":23.523517214554733,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.523517214554733,"endHours":24.523517214554733,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.523517214554733,"endHours":25.523517214554733,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.523517214554733,"endHours":26.523517214554733,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.523517214554733,"endHours":27.523517214554733,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.523517214554733,"endHours":28.523517214554733,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.523517214554733,"endHours":29.523517214554733,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.523517214554733,"endHours":30.523517214554733,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.676604777082373,"eotMinutes":-10.217919928808794,"ayanamsa":24.7498}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Ekādaśī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[{"id":"papamochani-ekadashi","name":"Pāpamocanī Ekādaśī","name_sanskrit":"पापमोचनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes mahā-pātakas (great sins).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Caitra"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga March 13, 2064 CE · Vṛndāvana · Vidhyamitra","description":"March 13, 2064 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 06:31, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2064-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2064-03-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2064-03-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2064-03-13","x-default":"https://vidhyamitra.com/city/vrindavan/2064-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T14:54:12.171Z","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":"2026-06-02T14:54:12.171Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T14:54:12.171Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}