{"id":"vidhyamitra:city-day:vrindavan:2146-07-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2146-07-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2146-07-30","date_display":"July 30, 2146 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":2146,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505080.770833,"kali_year":5248,"ahargana":1916615.2708,"sun":{"sidereal_longitude":100.1664,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":2.0472,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":261.8808,"elapsed_within_tithi_degrees":9.8808},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.0472,"elapsed_within_degrees":2.0472},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.2136},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2146,"month":7,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2505080.770833,"ahargana":1916615.2708,"kali_year":5248,"ayanamsa_lahiri":25.9005,"grahas":{"sun":{"sidereal_longitude":101.03044999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":5.23984999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-2.4851},"mars":{"sidereal_longitude":344.35115,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":95.08125000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":133.65085,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":142.82524999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":17.987349999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":148.4996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":328.4996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2146,"month":7,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505080.770833,"kali_year":5248,"ahargana":1916615.2708,"sun":{"sidereal_longitude":100.1664,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":2.0472,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":261.8808,"elapsed_within_tithi_degrees":9.8808},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":2.0472,"elapsed_within_degrees":2.0472},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.2136},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.485,"elongation":98.119},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.485,"opposition_distance":81.881}},"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":"05:41","sunsetLocal":"19:10","solarNoonLocal":"12:25","dayLengthHours":13.478606701988758,"dayLengthDisplay":"13 Hours 28 Mins 43 Secs","nightLengthDisplay":"10 Hours 31 Mins 17 Secs","moonriseLocal":"23:34","moonsetLocal":"12:30","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:44","startHours":9.054973086449149,"endHours":10.739798924197743,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:48","startHours":14.109450599694933,"endHours":15.794276437443527,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:41","end":"07:22","startHours":5.685321410951959,"endHours":7.370147248700554,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.830329641416002,"endHours":9.279616531482294,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.246930023534824,"endHours":6.606359535587857,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.975337871880045,"endHours":12.873911652012628,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.8881738506867913,"endHours":4.786747630819375,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.562104185786229,"endHours":5.685321410951959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.671059212277797,"endHours":15.56963299241038,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.963928112940717,"endHours":19.363928112940716,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:44","startHours":19.163928112940717,"endHours":19.725536725523583,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.913928112940717,"endHours":20.663928112940717,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.975337871880043,"endHours":24.87391165201263,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:41","end":"07:22","startHours":5.685321410951959,"endHours":7.370147248700554,"quality":"inauspicious"},{"name":"Śubha","start":"07:22","end":"09:03","startHours":7.370147248700554,"endHours":9.054973086449149,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:44","startHours":9.054973086449149,"endHours":10.739798924197743,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:25","startHours":10.739798924197743,"endHours":12.424624761946337,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:07","startHours":12.424624761946337,"endHours":14.109450599694933,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:48","startHours":14.109450599694933,"endHours":15.794276437443527,"quality":"auspicious"},{"name":"Amṛta","start":"15:48","end":"17:29","startHours":15.794276437443527,"endHours":17.479102275192123,"quality":"auspicious"},{"name":"Kāla","start":"17:29","end":"19:10","startHours":17.479102275192123,"endHours":19.163928112940717,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:10","end":"20:29","startHours":19.163928112940717,"endHours":20.479102275192123,"quality":"auspicious"},{"name":"Amṛta","start":"20:29","end":"21:48","startHours":20.479102275192123,"endHours":21.79427643744353,"quality":"auspicious"},{"name":"Kāla","start":"21:48","end":"23:07","startHours":21.79427643744353,"endHours":23.10945059969493,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:25","startHours":23.10945059969493,"endHours":24.424624761946337,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:44","startHours":24.424624761946337,"endHours":25.739798924197743,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:03","startHours":25.739798924197743,"endHours":27.05497308644915,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:22","startHours":27.05497308644915,"endHours":28.370147248700555,"quality":"neutral"},{"name":"Labha","start":"04:22","end":"05:41","startHours":28.370147248700555,"endHours":29.685321410951957,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.685321410951959,"endHours":6.685321410951959,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.685321410951959,"endHours":7.685321410951959,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.685321410951959,"endHours":8.685321410951959,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.685321410951959,"endHours":9.685321410951959,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.685321410951959,"endHours":10.685321410951959,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.685321410951959,"endHours":11.685321410951959,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.685321410951959,"endHours":12.685321410951959,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.685321410951959,"endHours":13.685321410951959,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.685321410951959,"endHours":14.685321410951959,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.685321410951959,"endHours":15.685321410951959,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.685321410951959,"endHours":16.685321410951957,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.685321410951957,"endHours":17.685321410951957,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.685321410951957,"endHours":18.685321410951957,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.685321410951957,"endHours":19.685321410951957,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.685321410951957,"endHours":20.685321410951957,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.685321410951957,"endHours":21.685321410951957,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.685321410951957,"endHours":22.685321410951957,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.685321410951957,"endHours":23.685321410951957,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.685321410951957,"endHours":24.685321410951957,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.685321410951957,"endHours":25.685321410951957,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.685321410951957,"endHours":26.685321410951957,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.685321410951957,"endHours":27.685321410951957,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.685321410951957,"endHours":28.685321410951957,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.685321410951957,"endHours":29.685321410951957,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Rākṣasa","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":18.537876957290965,"eotMinutes":-6.1146857167802535,"ayanamsa":25.9005}},"calendars":{"vikram_samvat":2203,"vikram_samvatsara":"Siddhārthī","saka_samvat":2068,"saka_samvatsara":"Parābhava","bengali_samvat":1553,"malayalam_era":1322,"nanakshahi_year":677,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Saptamī · Vikram 2203 Siddhārthī · Śaka 2068 Parābhava"},"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 July 30, 2146 CE · Vṛndāvana · Vidhyamitra","description":"July 30, 2146 CE for Vṛndāvana: Kṛṣṇa Saptamī, sūryodaya 05:41, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2146-07-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2146-07-30","sa":"https://sa.vidhyamitra.com/city/vrindavan/2146-07-30","hi":"https://hi.vidhyamitra.com/city/vrindavan/2146-07-30","x-default":"https://vidhyamitra.com/city/vrindavan/2146-07-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:50:24.093Z","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":"2026-05-31T06:50:24.093Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:50:24.093Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}