{"id":"vidhyamitra:city-day:vrindavan:2112-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2112-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-07-04","date_display":"July 4, 2112 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":2112,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492636.770833,"kali_year":5214,"ahargana":1904171.2708,"sun":{"sidereal_longitude":76.2887,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":186.9581,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":110.6694,"elapsed_within_tithi_degrees":2.6694},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.9581,"elapsed_within_degrees":0.2914},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.2469},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2112,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492636.770833,"ahargana":1904171.2708,"kali_year":5214,"ayanamsa_lahiri":25.4246,"grahas":{"sun":{"sidereal_longitude":76.902603,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":185.83170300000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":4.4431},"mars":{"sidereal_longitude":253.458703,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":74.67540300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":171.37510299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":89.81940300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":320.038103,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":87.8426,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":267.8426,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"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":2112,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492636.770833,"kali_year":5214,"ahargana":1904171.2708,"sun":{"sidereal_longitude":76.2887,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":186.9581,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":110.6694,"elapsed_within_tithi_degrees":2.6694},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":186.9581,"elapsed_within_degrees":0.2914},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.2469},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.443,"elongation":110.669},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.443,"opposition_distance":69.331}},"eclipse_window_40days":[{"offset_days":6,"type":"lunar","occurs":true,"moon_latitude":0.21,"opposition_distance":2.882}]},"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":"05:28","sunsetLocal":"19:18","solarNoonLocal":"12:23","dayLengthHours":13.835245171848882,"dayLengthDisplay":"13 Hours 50 Mins 07 Secs","nightLengthDisplay":"10 Hours 09 Mins 53 Secs","moonriseLocal":"14:02","moonsetLocal":"01:17","rahuKala":{"name":"Rāhu Kāla","start":"07:12","end":"08:56","startHours":7.20148494816604,"endHours":8.930890594647149,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:40","end":"12:23","startHours":10.660296241128261,"endHours":12.38970188760937,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:51","startHours":14.119107534090482,"endHours":15.84851318057159,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.700303175116336,"endHours":9.161478014177964,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.048547850511966,"endHours":6.41748772176127,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.92852704854774,"endHours":12.850876726670998,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.6273799454384115,"endHours":4.549729623561671,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:28","startHours":4.319142204030856,"endHours":5.472079301684929,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.695576082917519,"endHours":15.617925761040778,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.10732447353381,"endHours":19.50732447353381,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.30732447353381,"endHours":19.883793022360848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.05732447353381,"endHours":20.80732447353381,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.92852704854774,"endHours":24.850876726671,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:28","end":"07:12","startHours":5.472079301684929,"endHours":7.20148494816604,"quality":"auspicious"},{"name":"Kāla","start":"07:12","end":"08:56","startHours":7.20148494816604,"endHours":8.930890594647149,"quality":"inauspicious"},{"name":"Śubha","start":"08:56","end":"10:40","startHours":8.930890594647149,"endHours":10.660296241128261,"quality":"auspicious"},{"name":"Roga","start":"10:40","end":"12:23","startHours":10.660296241128261,"endHours":12.38970188760937,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"14:07","startHours":12.38970188760937,"endHours":14.119107534090482,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:51","startHours":14.119107534090482,"endHours":15.84851318057159,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:35","startHours":15.84851318057159,"endHours":17.577918827052702,"quality":"auspicious"},{"name":"Amṛta","start":"17:35","end":"19:18","startHours":17.577918827052702,"endHours":19.30732447353381,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:18","end":"20:35","startHours":19.30732447353381,"endHours":20.5779188270527,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"21:51","startHours":20.5779188270527,"endHours":21.84851318057159,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:07","startHours":21.84851318057159,"endHours":23.11910753409048,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:23","startHours":23.11910753409048,"endHours":24.38970188760937,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:40","startHours":24.38970188760937,"endHours":25.660296241128258,"quality":"auspicious"},{"name":"Roga","start":"01:40","end":"02:56","startHours":25.660296241128258,"endHours":26.93089059464715,"quality":"inauspicious"},{"name":"Udveg","start":"02:56","end":"04:12","startHours":26.93089059464715,"endHours":28.20148494816604,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"05:28","startHours":28.20148494816604,"endHours":29.47207930168493,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.472079301684929,"endHours":6.472079301684929,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.472079301684929,"endHours":7.472079301684929,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.472079301684929,"endHours":8.472079301684929,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.472079301684929,"endHours":9.472079301684929,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.472079301684929,"endHours":10.472079301684929,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.472079301684929,"endHours":11.472079301684929,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.472079301684929,"endHours":12.472079301684929,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.472079301684929,"endHours":13.472079301684929,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.472079301684929,"endHours":14.472079301684929,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.472079301684929,"endHours":15.472079301684929,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.472079301684929,"endHours":16.47207930168493,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.47207930168493,"endHours":17.47207930168493,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.47207930168493,"endHours":18.47207930168493,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.47207930168493,"endHours":19.47207930168493,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.47207930168493,"endHours":20.47207930168493,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.47207930168493,"endHours":21.47207930168493,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.47207930168493,"endHours":22.47207930168493,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.47207930168493,"endHours":23.47207930168493,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.47207930168493,"endHours":24.47207930168493,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.47207930168493,"endHours":25.47207930168493,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.47207930168493,"endHours":26.47207930168493,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.47207930168493,"endHours":27.47207930168493,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.47207930168493,"endHours":28.47207930168493,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.47207930168493,"endHours":29.47207930168493,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.86508157758335,"eotMinutes":-4.019313256562166,"ayanamsa":25.4246}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Daśamī · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 July 4, 2112 CE · Vṛndāvana · Vidhyamitra","description":"July 4, 2112 CE for Vṛndāvana: Śukla Daśamī, sūryodaya 05:28, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2112-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2112-07-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2112-07-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2112-07-04","x-default":"https://vidhyamitra.com/city/vrindavan/2112-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:03:23.926Z","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":"2026-06-01T20:03:23.926Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:03:23.926Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}