{"id":"vidhyamitra:city-day:vrindavan:2180-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2180-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2180-07-31","date_display":"July 31, 2180 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":2180,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517500.770833,"kali_year":5282,"ahargana":1929035.2708,"sun":{"sidereal_longitude":101.3081,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":207.9837,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.6756,"elapsed_within_tithi_degrees":10.6756},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.9837,"elapsed_within_degrees":7.9837},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.2918},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2180,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517500.770833,"ahargana":1929035.2708,"kali_year":5282,"ayanamsa_lahiri":26.3756,"grahas":{"sun":{"sidereal_longitude":102.26251500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":207.89381500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-0.1917},"mars":{"sidereal_longitude":21.743015000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":115.99661500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":94.47261500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":56.781915000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":75.731315,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":210.4282,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.4282,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2180,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517500.770833,"kali_year":5282,"ahargana":1929035.2708,"sun":{"sidereal_longitude":101.3081,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":207.9837,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.6756,"elapsed_within_tithi_degrees":10.6756},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.9837,"elapsed_within_degrees":7.9837},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.2918},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.192,"elongation":106.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.192,"opposition_distance":73.324}},"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":"05:42","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.443794248935667,"dayLengthDisplay":"13 Hours 26 Mins 38 Secs","nightLengthDisplay":"10 Hours 33 Mins 22 Secs","moonriseLocal":"14:06","moonsetLocal":"00:50","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:04","startHours":7.382480065188304,"endHours":9.062954346305261,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:25","startHours":10.74342862742222,"endHours":12.42390290853918,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:06","end":"15:47","startHours":14.104377189656137,"endHours":15.784851470773095,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.838891108823,"endHours":9.287017583787524,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.262163877776998,"endHours":6.6206650577486155,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.975776433574657,"endHours":12.872029383503703,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:48","startHours":3.9094998842132567,"endHours":4.805752834142301,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.5816895966600395,"endHours":5.702005784071345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.66453528336179,"endHours":15.560788233290834,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.945800033007014,"endHours":19.345800033007013,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:42","startHours":19.145800033007013,"endHours":19.705958126712666,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.895800033007013,"endHours":20.645800033007013,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.97577643357466,"endHours":24.8720293835037,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:42","end":"07:23","startHours":5.702005784071345,"endHours":7.382480065188304,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:04","startHours":7.382480065188304,"endHours":9.062954346305261,"quality":"inauspicious"},{"name":"Śubha","start":"09:04","end":"10:45","startHours":9.062954346305261,"endHours":10.74342862742222,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:25","startHours":10.74342862742222,"endHours":12.42390290853918,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:06","startHours":12.42390290853918,"endHours":14.104377189656137,"quality":"inauspicious"},{"name":"Chala","start":"14:06","end":"15:47","startHours":14.104377189656137,"endHours":15.784851470773095,"quality":"neutral"},{"name":"Labha","start":"15:47","end":"17:28","startHours":15.784851470773095,"endHours":17.465325751890056,"quality":"auspicious"},{"name":"Amṛta","start":"17:28","end":"19:09","startHours":17.465325751890056,"endHours":19.145800033007013,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:09","end":"20:28","startHours":19.145800033007013,"endHours":20.465325751890056,"quality":"neutral"},{"name":"Labha","start":"20:28","end":"21:47","startHours":20.465325751890056,"endHours":21.7848514707731,"quality":"auspicious"},{"name":"Amṛta","start":"21:47","end":"23:06","startHours":21.7848514707731,"endHours":23.104377189656137,"quality":"auspicious"},{"name":"Kāla","start":"23:06","end":"00:25","startHours":23.104377189656137,"endHours":24.42390290853918,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:45","startHours":24.42390290853918,"endHours":25.743428627422222,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:04","startHours":25.743428627422222,"endHours":27.06295434630526,"quality":"inauspicious"},{"name":"Udveg","start":"03:04","end":"04:23","startHours":27.06295434630526,"endHours":28.382480065188304,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:42","startHours":28.382480065188304,"endHours":29.702005784071346,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.702005784071345,"endHours":6.702005784071345,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.702005784071345,"endHours":7.702005784071345,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.702005784071345,"endHours":8.702005784071346,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.702005784071346,"endHours":9.702005784071346,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.702005784071346,"endHours":10.702005784071346,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.702005784071346,"endHours":11.702005784071346,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.702005784071346,"endHours":12.702005784071346,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.702005784071346,"endHours":13.702005784071346,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.702005784071346,"endHours":14.702005784071346,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.702005784071346,"endHours":15.702005784071346,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.702005784071346,"endHours":16.702005784071346,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.702005784071346,"endHours":17.702005784071346,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.702005784071346,"endHours":18.702005784071346,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.702005784071346,"endHours":19.702005784071346,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.702005784071346,"endHours":20.702005784071346,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.702005784071346,"endHours":21.702005784071346,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.702005784071346,"endHours":22.702005784071346,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.702005784071346,"endHours":23.702005784071346,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.702005784071346,"endHours":24.702005784071346,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.702005784071346,"endHours":25.702005784071346,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.702005784071346,"endHours":26.702005784071346,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.702005784071346,"endHours":27.702005784071346,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.702005784071346,"endHours":28.702005784071346,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.702005784071346,"endHours":29.702005784071346,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.09966808849833,"eotMinutes":-6.071374512350812,"ayanamsa":26.3756}},"calendars":{"vikram_samvat":2237,"vikram_samvatsara":"Vijaya","saka_samvat":2102,"saka_samvatsara":"Vikrama","bengali_samvat":1587,"malayalam_era":1356,"nanakshahi_year":711,"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 Navamī · Vikram 2237 Vijaya · Śaka 2102 Vikrama"},"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 31, 2180 CE · Vṛndāvana · Vidhyamitra","description":"July 31, 2180 CE for Vṛndāvana: Śukla Navamī, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2180-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2180-07-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2180-07-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2180-07-31","x-default":"https://vidhyamitra.com/city/vrindavan/2180-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:17:24.574Z","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":"2026-05-31T00:17:24.574Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:17:24.574Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}