{"id":"vidhyamitra:city-day:vrindavan:2042-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2042-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2042-08-16","date_display":"August 16, 2042 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2042,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467112.770833,"kali_year":5144,"ahargana":1878647.2708,"sun":{"sidereal_longitude":118.1768,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":123.3041,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.1273,"elapsed_within_tithi_degrees":5.1273},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.3041,"elapsed_within_degrees":3.3041},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.4809},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2042,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467112.770833,"ahargana":1878647.2708,"kali_year":5144,"ayanamsa_lahiri":24.4484,"grahas":{"sun":{"sidereal_longitude":118.89550700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":122.18860699999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":3.7696},"mars":{"sidereal_longitude":168.82310699999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":144.728207,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":208.907107,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":163.98300700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":186.13300700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":0.2269,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.2269,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2042,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467112.770833,"kali_year":5144,"ahargana":1878647.2708,"sun":{"sidereal_longitude":118.1768,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":123.3041,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.1273,"elapsed_within_tithi_degrees":5.1273},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.3041,"elapsed_within_degrees":3.3041},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.4809},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.77,"elongation":5.127},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.77,"opposition_distance":174.873}},"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":"05:50","sunsetLocal":"18:57","solarNoonLocal":"12:23","dayLengthHours":13.107648821246462,"dayLengthDisplay":"13 Hours 06 Mins 28 Secs","nightLengthDisplay":"10 Hours 53 Mins 32 Secs","moonriseLocal":"06:07","moonsetLocal":"19:06","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:45","startHours":9.111965387973925,"endHours":10.750421490629732,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:02","end":"15:40","startHours":14.027333695941348,"endHours":15.665789798597155,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:50","end":"07:28","startHours":5.835053182662309,"endHours":7.473509285318117,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.893504574286483,"endHours":9.330426201661364,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.381205216880911,"endHours":6.730742518780817,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.951955965910656,"endHours":12.825799220660421,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:58","startHours":4.08736667316278,"endHours":4.961209927912544,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.742749114225104,"endHours":5.835053182662309,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.57348573015995,"endHours":15.447328984909714,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.74270200390877,"endHours":19.14270200390877,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:29","startHours":18.94270200390877,"endHours":19.488854038127375,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.69270200390877,"endHours":20.44270200390877,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.951955965910656,"endHours":24.82579922066042,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:50","end":"07:28","startHours":5.835053182662309,"endHours":7.473509285318117,"quality":"inauspicious"},{"name":"Śubha","start":"07:28","end":"09:07","startHours":7.473509285318117,"endHours":9.111965387973925,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:45","startHours":9.111965387973925,"endHours":10.750421490629732,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:23","startHours":10.750421490629732,"endHours":12.388877593285539,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:02","startHours":12.388877593285539,"endHours":14.027333695941348,"quality":"neutral"},{"name":"Labha","start":"14:02","end":"15:40","startHours":14.027333695941348,"endHours":15.665789798597155,"quality":"auspicious"},{"name":"Amṛta","start":"15:40","end":"17:18","startHours":15.665789798597155,"endHours":17.304245901252962,"quality":"auspicious"},{"name":"Kāla","start":"17:18","end":"18:57","startHours":17.304245901252962,"endHours":18.94270200390877,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:57","end":"20:18","startHours":18.94270200390877,"endHours":20.304245901252962,"quality":"auspicious"},{"name":"Amṛta","start":"20:18","end":"21:40","startHours":20.304245901252962,"endHours":21.665789798597157,"quality":"auspicious"},{"name":"Kāla","start":"21:40","end":"23:02","startHours":21.665789798597157,"endHours":23.027333695941348,"quality":"inauspicious"},{"name":"Śubha","start":"23:02","end":"00:23","startHours":23.027333695941348,"endHours":24.38887759328554,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:45","startHours":24.38887759328554,"endHours":25.750421490629734,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:07","startHours":25.750421490629734,"endHours":27.111965387973925,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:28","startHours":27.111965387973925,"endHours":28.473509285318116,"quality":"neutral"},{"name":"Labha","start":"04:28","end":"05:50","startHours":28.473509285318116,"endHours":29.835053182662307,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.835053182662309,"endHours":6.835053182662309,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.835053182662309,"endHours":7.835053182662309,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.835053182662309,"endHours":8.835053182662309,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.835053182662309,"endHours":9.835053182662309,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.835053182662309,"endHours":10.835053182662309,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.835053182662309,"endHours":11.835053182662309,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.835053182662309,"endHours":12.835053182662309,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.835053182662309,"endHours":13.835053182662309,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.835053182662309,"endHours":14.835053182662309,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.835053182662309,"endHours":15.835053182662309,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.835053182662309,"endHours":16.835053182662307,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.835053182662307,"endHours":17.835053182662307,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.835053182662307,"endHours":18.835053182662307,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.835053182662307,"endHours":19.835053182662307,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.835053182662307,"endHours":20.835053182662307,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.835053182662307,"endHours":21.835053182662307,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.835053182662307,"endHours":22.835053182662307,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.835053182662307,"endHours":23.835053182662307,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.835053182662307,"endHours":24.835053182662307,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.835053182662307,"endHours":25.835053182662307,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.835053182662307,"endHours":26.835053182662307,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.835053182662307,"endHours":27.835053182662307,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.835053182662307,"endHours":28.835053182662307,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.835053182662307,"endHours":29.835053182662307,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.736114142343126,"eotMinutes":-3.969855597132357,"ayanamsa":24.4484}},"calendars":{"vikram_samvat":2099,"vikram_samvatsara":"Yuva","saka_samvat":1964,"saka_samvatsara":"Dundubhi","bengali_samvat":1449,"malayalam_era":1218,"nanakshahi_year":573,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2099 Yuva · Śaka 1964 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 16, 2042 CE · Vṛndāvana · Vidhyamitra","description":"August 16, 2042 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 05:50, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2042-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2042-08-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/2042-08-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/2042-08-16","x-default":"https://vidhyamitra.com/city/vrindavan/2042-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T20:59:46.961Z","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":"2026-09-22T20:59:46.961Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T20:59:46.961Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}