{"id":"vidhyamitra:city-day:vrindavan:2045-06-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-06-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-06-15","date_display":"June 15, 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":6,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468146.770833,"kali_year":5147,"ahargana":1879681.2708,"sun":{"sidereal_longitude":59.5606,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":57.021,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.4604,"elapsed_within_tithi_degrees":9.4604},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.021,"elapsed_within_degrees":3.6876},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.5815},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2045,"month":6,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468146.770833,"ahargana":1879681.2708,"kali_year":5147,"ayanamsa_lahiri":24.488,"grahas":{"sun":{"sidereal_longitude":59.88900100000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":58.72250100000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":4.184},"mars":{"sidereal_longitude":48.549600999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":79.95570099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":317.534001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":82.095101,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":221.89060100000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":305.4406,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":125.4406,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":6,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468146.770833,"kali_year":5147,"ahargana":1879681.2708,"sun":{"sidereal_longitude":59.5606,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":57.021,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.4604,"elapsed_within_tithi_degrees":9.4604},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.021,"elapsed_within_degrees":3.6876},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.5815},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.184,"elongation":2.54},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.184,"opposition_distance":177.46}},"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":"05:23","sunsetLocal":"19:16","solarNoonLocal":"12:20","dayLengthHours":13.874015458796643,"dayLengthDisplay":"13 Hours 52 Mins 26 Secs","nightLengthDisplay":"10 Hours 07 Mins 34 Secs","moonriseLocal":"05:20","moonsetLocal":"19:10","rahuKala":{"name":"Rāhu Kāla","start":"14:04","end":"15:48","startHours":14.060172881771766,"endHours":15.794424814121347,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:23","end":"07:07","startHours":5.3889132200238645,"endHours":7.123165152373445,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:51","end":"10:36","startHours":8.857417084723025,"endHours":10.591669017072606,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.626183493743081,"endHours":9.088650675702969,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.966997197473725,"endHours":6.336970943041635,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:47","startHours":11.8634537674623,"endHours":12.788388131382074,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:28","startHours":3.539044492184312,"endHours":4.463978856104088,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.232745265124144,"endHours":5.3889132200238645,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:34","startHours":14.638256859221627,"endHours":15.563191223141404,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06292867882051,"endHours":19.462928678820507,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.262928678820508,"endHours":19.84101265627037,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.012928678820508,"endHours":20.762928678820508,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:47","startHours":23.8634537674623,"endHours":24.788388131382074,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:23","end":"07:07","startHours":5.3889132200238645,"endHours":7.123165152373445,"quality":"auspicious"},{"name":"Roga","start":"07:07","end":"08:51","startHours":7.123165152373445,"endHours":8.857417084723025,"quality":"inauspicious"},{"name":"Udveg","start":"08:51","end":"10:36","startHours":8.857417084723025,"endHours":10.591669017072606,"quality":"inauspicious"},{"name":"Chala","start":"10:36","end":"12:20","startHours":10.591669017072606,"endHours":12.325920949422187,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"14:04","startHours":12.325920949422187,"endHours":14.060172881771766,"quality":"auspicious"},{"name":"Amṛta","start":"14:04","end":"15:48","startHours":14.060172881771766,"endHours":15.794424814121347,"quality":"auspicious"},{"name":"Kāla","start":"15:48","end":"17:32","startHours":15.794424814121347,"endHours":17.52867674647093,"quality":"inauspicious"},{"name":"Śubha","start":"17:32","end":"19:16","startHours":17.52867674647093,"endHours":19.262928678820508,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:16","end":"20:32","startHours":19.262928678820508,"endHours":20.52867674647093,"quality":"auspicious"},{"name":"Kāla","start":"20:32","end":"21:48","startHours":20.52867674647093,"endHours":21.794424814121346,"quality":"inauspicious"},{"name":"Śubha","start":"21:48","end":"23:04","startHours":21.794424814121346,"endHours":23.060172881771766,"quality":"auspicious"},{"name":"Roga","start":"23:04","end":"00:20","startHours":23.060172881771766,"endHours":24.325920949422187,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"01:36","startHours":24.325920949422187,"endHours":25.591669017072604,"quality":"inauspicious"},{"name":"Chala","start":"01:36","end":"02:51","startHours":25.591669017072604,"endHours":26.857417084723025,"quality":"neutral"},{"name":"Labha","start":"02:51","end":"04:07","startHours":26.857417084723025,"endHours":28.123165152373446,"quality":"auspicious"},{"name":"Amṛta","start":"04:07","end":"05:23","startHours":28.123165152373446,"endHours":29.388913220023866,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.3889132200238645,"endHours":6.3889132200238645,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.3889132200238645,"endHours":7.3889132200238645,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.3889132200238645,"endHours":8.388913220023865,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.388913220023865,"endHours":9.388913220023865,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.388913220023865,"endHours":10.388913220023865,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.388913220023865,"endHours":11.388913220023865,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.388913220023865,"endHours":12.388913220023865,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.388913220023865,"endHours":13.388913220023865,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.388913220023865,"endHours":14.388913220023865,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.388913220023865,"endHours":15.388913220023865,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.388913220023865,"endHours":16.388913220023866,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.388913220023866,"endHours":17.388913220023866,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.388913220023866,"endHours":18.388913220023866,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.388913220023866,"endHours":19.388913220023866,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.388913220023866,"endHours":20.388913220023866,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.388913220023866,"endHours":21.388913220023866,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.388913220023866,"endHours":22.388913220023866,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.388913220023866,"endHours":23.388913220023866,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.388913220023866,"endHours":24.388913220023866,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.388913220023866,"endHours":25.388913220023866,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.388913220023866,"endHours":26.388913220023866,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.388913220023866,"endHours":27.388913220023866,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.388913220023866,"endHours":28.388913220023866,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.388913220023866,"endHours":29.388913220023866,"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":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.31703982051617,"eotMinutes":-0.19245696533128553,"ayanamsa":24.488}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha (Adhika) Kṛṣṇa Amāvasyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi_ingress":"Mithuna"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 June 15, 2045 CE · Vṛndāvana · Vidhyamitra","description":"June 15, 2045 CE for Vṛndāvana: Kṛṣṇa Amāvasyā, sūryodaya 05:23, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-06-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-06-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-06-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-06-15","x-default":"https://vidhyamitra.com/city/vrindavan/2045-06-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:29:47.914Z","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":"2026-05-31T18:29:47.914Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:29:47.914Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}