{"id":"vidhyamitra:city-day:vrindavan:2045-03-27:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-03-27","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-03-27","date_display":"March 27, 2045 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":2045,"month":3,"day":27,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468066.770833,"kali_year":5146,"ahargana":1879601.2708,"sun":{"sidereal_longitude":342.3643,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":87.3571,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.9928,"elapsed_within_tithi_degrees":8.9928},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.3571,"elapsed_within_degrees":7.3571},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.7215},"karana":{"half_tithi_index":17,"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":2045,"month":3,"day":27,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468066.770833,"ahargana":1879601.2708,"kali_year":5146,"ayanamsa_lahiri":24.4849,"grahas":{"sun":{"sidereal_longitude":342.294857,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":85.41015700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":3.0281},"mars":{"sidereal_longitude":350.001357,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":329.0437569999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":305.80455699999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":343.718057,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":226.35165699999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":309.6794,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":129.6794,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":2045,"month":3,"day":27,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468066.770833,"kali_year":5146,"ahargana":1879601.2708,"sun":{"sidereal_longitude":342.3643,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":87.3571,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.9928,"elapsed_within_tithi_degrees":8.9928},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.3571,"elapsed_within_degrees":7.3571},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":69.7215},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.028,"elongation":104.993},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.028,"opposition_distance":75.007}},"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":"06:16","sunsetLocal":"18:35","solarNoonLocal":"12:25","dayLengthHours":12.312961117594487,"dayLengthDisplay":"12 Hours 18 Mins 47 Secs","nightLengthDisplay":"11 Hours 41 Mins 13 Secs","moonriseLocal":"12:26","moonsetLocal":"02:09","rahuKala":{"name":"Rāhu Kāla","start":"07:48","end":"09:21","startHours":7.804359732940279,"endHours":9.34347987263959,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:53","end":"12:25","startHours":10.882600012338902,"endHours":12.421720152038212,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:58","end":"15:30","startHours":13.960840291737522,"endHours":15.499960431436833,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:08","end":"09:33","startHours":9.138263854013015,"endHours":9.548695891266163,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.778279639807405,"endHours":7.106625269609925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:50","startHours":12.01128811478506,"endHours":12.83215218929136,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:27","startHours":4.623511444228369,"endHours":5.4443755187346685,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:16","startHours":5.239159500108094,"endHours":6.265239593240968,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:18","startHours":14.473880338303957,"endHours":15.294744412810255,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.378200710835454,"endHours":18.778200710835453,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:05","startHours":18.578200710835453,"endHours":19.09124075740189,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.328200710835453,"endHours":20.078200710835453,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:50","startHours":24.011288114785064,"endHours":24.83215218929136,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:16","end":"07:48","startHours":6.265239593240968,"endHours":7.804359732940279,"quality":"auspicious"},{"name":"Kāla","start":"07:48","end":"09:21","startHours":7.804359732940279,"endHours":9.34347987263959,"quality":"inauspicious"},{"name":"Śubha","start":"09:21","end":"10:53","startHours":9.34347987263959,"endHours":10.882600012338902,"quality":"auspicious"},{"name":"Roga","start":"10:53","end":"12:25","startHours":10.882600012338902,"endHours":12.421720152038212,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:58","startHours":12.421720152038212,"endHours":13.960840291737522,"quality":"inauspicious"},{"name":"Chala","start":"13:58","end":"15:30","startHours":13.960840291737522,"endHours":15.499960431436833,"quality":"neutral"},{"name":"Labha","start":"15:30","end":"17:02","startHours":15.499960431436833,"endHours":17.039080571136143,"quality":"auspicious"},{"name":"Amṛta","start":"17:02","end":"18:35","startHours":17.039080571136143,"endHours":18.578200710835453,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:35","end":"20:02","startHours":18.578200710835453,"endHours":20.039080571136143,"quality":"neutral"},{"name":"Labha","start":"20:02","end":"21:30","startHours":20.039080571136143,"endHours":21.499960431436833,"quality":"auspicious"},{"name":"Amṛta","start":"21:30","end":"22:58","startHours":21.499960431436833,"endHours":22.96084029173752,"quality":"auspicious"},{"name":"Kāla","start":"22:58","end":"00:25","startHours":22.96084029173752,"endHours":24.421720152038212,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:53","startHours":24.421720152038212,"endHours":25.882600012338898,"quality":"auspicious"},{"name":"Roga","start":"01:53","end":"03:21","startHours":25.882600012338898,"endHours":27.343479872639588,"quality":"inauspicious"},{"name":"Udveg","start":"03:21","end":"04:48","startHours":27.343479872639588,"endHours":28.804359732940277,"quality":"inauspicious"},{"name":"Chala","start":"04:48","end":"06:16","startHours":28.804359732940277,"endHours":30.265239593240967,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.265239593240968,"endHours":7.265239593240968,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.265239593240968,"endHours":8.265239593240967,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.265239593240967,"endHours":9.265239593240967,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.265239593240967,"endHours":10.265239593240967,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.265239593240967,"endHours":11.265239593240967,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.265239593240967,"endHours":12.265239593240967,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.265239593240967,"endHours":13.265239593240967,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.265239593240967,"endHours":14.265239593240967,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.265239593240967,"endHours":15.265239593240967,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.265239593240967,"endHours":16.265239593240967,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.265239593240967,"endHours":17.265239593240967,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.265239593240967,"endHours":18.265239593240967,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.265239593240967,"endHours":19.265239593240967,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.265239593240967,"endHours":20.265239593240967,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.265239593240967,"endHours":21.265239593240967,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.265239593240967,"endHours":22.265239593240967,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.265239593240967,"endHours":23.265239593240967,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.265239593240967,"endHours":24.265239593240967,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.265239593240967,"endHours":25.265239593240967,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.265239593240967,"endHours":26.265239593240967,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.265239593240967,"endHours":27.265239593240967,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.265239593240967,"endHours":28.265239593240967,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.265239593240967,"endHours":29.265239593240967,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.265239593240967,"endHours":30.265239593240967,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","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":2.6912306264212003,"eotMinutes":-5.940409122292583,"ayanamsa":24.4849}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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 Navamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"rama-navami","name":"Rāma Navamī","name_sanskrit":"राम नवमी","tradition":"Vaishnava","associated_deity":"Rāma (18th avatāra of Krishna)","deity_avatara_index":18,"significance":"Bhagavān Rāma's birth at Ayodhyā. Sūryavaṃśa's most exalted moment.","vrata":true,"primary_observance":"Madhyāhna (noon) abhiṣekam in Ayodhyā tradition","detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":1,"related_chart":"rama","historical_anchor":{"event":"Bhagavān Rāma's birth at Ayodhyā","date_julian":"-1626101-04-03","location":"Ayodhyā"},"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 1.18"]}],"todays_walk":{"walk":{"id":"rama-navami-walk","name":"Rāma Navamī Walk","name_sanskrit":"राम नवमी यात्रा","type":"festival","description":"Vālmīki Bāla-Kāṇḍa selections + BG 4.7-8 (avatāra principle).","step_count":9,"url":"/walk/rama-navami-walk"},"reason":"Today is Rāma Navamī — its dedicated walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī + Punarvasu","url":"/day/-1626101-04-03","relevance":1}]},"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 27, 2045 CE · Vṛndāvana · Vidhyamitra","description":"March 27, 2045 CE for Vṛndāvana: Śukla Navamī, sūryodaya 06:16, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-03-27","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-03-27","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-03-27","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-03-27","x-default":"https://vidhyamitra.com/city/vrindavan/2045-03-27"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:25:43.053Z","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":"2026-06-01T23:25:43.053Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:25:43.053Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}