{"id":"vidhyamitra:city-day:vrindavan:2045-06-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2045-06-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-06-02","date_display":"June 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468133.770833,"kali_year":5147,"ahargana":1879668.2708,"sun":{"sidereal_longitude":47.2148,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":256.2033,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.9885,"elapsed_within_tithi_degrees":4.9885},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.2033,"elapsed_within_degrees":2.87},"yoga":{"number":23,"name":"Śubha","sum_longitude":303.4181},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2045,"month":6,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468133.770833,"ahargana":1879668.2708,"kali_year":5147,"ayanamsa_lahiri":24.4875,"grahas":{"sun":{"sidereal_longitude":47.45289700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":253.92109700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-3.442},"mars":{"sidereal_longitude":39.406296999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":55.385197000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":316.62379699999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":66.26489700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":222.82719700000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":306.1294,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":126.1294,"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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468133.770833,"kali_year":5147,"ahargana":1879668.2708,"sun":{"sidereal_longitude":47.2148,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":256.2033,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.9885,"elapsed_within_tithi_degrees":4.9885},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.2033,"elapsed_within_degrees":2.87},"yoga":{"number":23,"name":"Śubha","sum_longitude":303.4181},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.442,"elongation":151.011},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.442,"opposition_distance":28.989}},"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":"05:24","sunsetLocal":"19:11","solarNoonLocal":"12:17","dayLengthHours":13.78031304719195,"dayLengthDisplay":"13 Hours 46 Mins 49 Secs","nightLengthDisplay":"10 Hours 13 Mins 11 Secs","moonriseLocal":"20:52","moonsetLocal":"07:14","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:17","startHours":10.563430227057406,"endHours":12.2859693579564,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:44","end":"17:27","startHours":15.731047619754385,"endHours":17.45358675065338,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:07","end":"08:50","startHours":7.118351965259418,"endHours":8.840891096158412,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.611219212038545,"endHours":9.070562980278279,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.969992544660089,"endHours":6.337467559251874,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:45","startHours":11.826625589716667,"endHours":12.74531312619613,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:29","startHours":3.558437761401498,"endHours":4.477125297880962,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.247453413761095,"endHours":5.395812834360425,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:30","startHours":14.582688199155058,"endHours":15.501375735634522,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:59","end":"19:23","startHours":18.976125881552374,"endHours":19.376125881552372,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:11","end":"19:45","startHours":19.176125881552373,"endHours":19.750305591852037,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:56","end":"20:41","startHours":18.926125881552373,"endHours":20.676125881552373,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:45","startHours":23.826625589716667,"endHours":24.745313126196127,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:24","end":"07:07","startHours":5.395812834360425,"endHours":7.118351965259418,"quality":"neutral"},{"name":"Labha","start":"07:07","end":"08:50","startHours":7.118351965259418,"endHours":8.840891096158412,"quality":"auspicious"},{"name":"Amṛta","start":"08:50","end":"10:34","startHours":8.840891096158412,"endHours":10.563430227057406,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:17","startHours":10.563430227057406,"endHours":12.2859693579564,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"14:01","startHours":12.2859693579564,"endHours":14.008508488855394,"quality":"auspicious"},{"name":"Roga","start":"14:01","end":"15:44","startHours":14.008508488855394,"endHours":15.731047619754385,"quality":"inauspicious"},{"name":"Udveg","start":"15:44","end":"17:27","startHours":15.731047619754385,"endHours":17.45358675065338,"quality":"inauspicious"},{"name":"Chala","start":"17:27","end":"19:11","startHours":17.45358675065338,"endHours":19.176125881552373,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:11","end":"20:27","startHours":19.176125881552373,"endHours":20.45358675065338,"quality":"inauspicious"},{"name":"Udveg","start":"20:27","end":"21:44","startHours":20.45358675065338,"endHours":21.731047619754385,"quality":"inauspicious"},{"name":"Chala","start":"21:44","end":"23:01","startHours":21.731047619754385,"endHours":23.00850848885539,"quality":"neutral"},{"name":"Labha","start":"23:01","end":"00:17","startHours":23.00850848885539,"endHours":24.285969357956397,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:34","startHours":24.285969357956397,"endHours":25.563430227057403,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"02:50","startHours":25.563430227057403,"endHours":26.840891096158412,"quality":"inauspicious"},{"name":"Śubha","start":"02:50","end":"04:07","startHours":26.840891096158412,"endHours":28.118351965259418,"quality":"auspicious"},{"name":"Roga","start":"04:07","end":"05:24","startHours":28.118351965259418,"endHours":29.395812834360424,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.395812834360425,"endHours":6.395812834360425,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.395812834360425,"endHours":7.395812834360425,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.395812834360425,"endHours":8.395812834360424,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.395812834360424,"endHours":9.395812834360424,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.395812834360424,"endHours":10.395812834360424,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.395812834360424,"endHours":11.395812834360424,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.395812834360424,"endHours":12.395812834360424,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.395812834360424,"endHours":13.395812834360424,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.395812834360424,"endHours":14.395812834360424,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.395812834360424,"endHours":15.395812834360424,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.395812834360424,"endHours":16.395812834360424,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.395812834360424,"endHours":17.395812834360424,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.395812834360424,"endHours":18.395812834360424,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.395812834360424,"endHours":19.395812834360424,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.395812834360424,"endHours":20.395812834360424,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.395812834360424,"endHours":21.395812834360424,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.395812834360424,"endHours":22.395812834360424,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.395812834360424,"endHours":23.395812834360424,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.395812834360424,"endHours":24.395812834360424,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.395812834360424,"endHours":25.395812834360424,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.395812834360424,"endHours":26.395812834360424,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.395812834360424,"endHours":27.395812834360424,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.395812834360424,"endHours":28.395812834360424,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.395812834360424,"endHours":29.395812834360424,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","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":22.218393005794283,"eotMinutes":2.2046385226161185,"ayanamsa":24.4875}},"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 Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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 June 2, 2045 CE · Vṛndāvana · Vidhyamitra","description":"June 2, 2045 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 05:24, sūryāsta 19:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2045-06-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2045-06-02","sa":"https://sa.vidhyamitra.com/city/vrindavan/2045-06-02","hi":"https://hi.vidhyamitra.com/city/vrindavan/2045-06-02","x-default":"https://vidhyamitra.com/city/vrindavan/2045-06-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:25:05.703Z","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":"2026-06-03T07:25:05.703Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:25:05.703Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}