{"id":"vidhyamitra:city-day:solapur:2157-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/solapur/2157-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-07-31","date_display":"July 31, 2157 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":2157,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509099.770833,"kali_year":5259,"ahargana":1920634.2708,"sun":{"sidereal_longitude":101.262,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":36.5333,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":295.2713,"elapsed_within_tithi_degrees":7.2713},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.5333,"elapsed_within_degrees":9.8666},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.7953},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2157,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509099.770833,"ahargana":1920634.2708,"kali_year":5259,"ayanamsa_lahiri":26.0543,"grahas":{"sun":{"sidereal_longitude":102.159895,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":38.10749499999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":4.4175},"mars":{"sidereal_longitude":196.493295,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":89.611895,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":112.16029500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":140.58419500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":152.36479499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.5536,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.5536,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509099.770833,"kali_year":5259,"ahargana":1920634.2708,"sun":{"sidereal_longitude":101.262,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":36.5333,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":295.2713,"elapsed_within_tithi_degrees":7.2713},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.5333,"elapsed_within_degrees":9.8666},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.7953},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.417,"elongation":64.729},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.417,"opposition_distance":115.271}},"eclipse_window_40days":[{"offset_days":5,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"city":{"slug":"solapur","name":"Solapur, Maharashtra","lat":17.6599,"lon":75.9064,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"solapur","name":"Solapur, Maharashtra","lat":17.6599,"lon":75.9064,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:05","sunsetLocal":"19:00","solarNoonLocal":"12:32","dayLengthHours":12.925083125481748,"dayLengthDisplay":"12 Hours 55 Mins 30 Secs","nightLengthDisplay":"11 Hours 04 Mins 30 Secs","moonriseLocal":"01:46","moonsetLocal":"14:47","rahuKala":{"name":"Rāhu Kāla","start":"17:23","end":"19:00","startHours":17.387669080594833,"endHours":19.003304471280053,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:32","end":"14:09","startHours":12.540762908539179,"endHours":14.156398299224396,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:46","end":"17:23","startHours":15.772033689909616,"endHours":17.387669080594833,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:31","startHours":9.094074075077378,"endHours":9.524910179260104,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:58","startHours":6.61676647602671,"endHours":6.9614353593728895,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:58","startHours":12.109926804356453,"endHours":12.971599012721905,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:13","startHours":4.354876929067404,"endHours":5.216549137432854,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:05","startHours":5.001131085341491,"endHours":6.078221345798304,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:33","startHours":14.694943429452803,"endHours":15.556615637818252,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.803304471280054,"endHours":19.203304471280052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":19.003304471280053,"endHours":19.54184960150846,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.753304471280053,"endHours":20.503304471280053,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:58","startHours":24.109926804356455,"endHours":24.971599012721903,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:05","end":"07:42","startHours":6.078221345798304,"endHours":7.693856736483522,"quality":"inauspicious"},{"name":"Chala","start":"07:42","end":"09:19","startHours":7.693856736483522,"endHours":9.309492127168742,"quality":"neutral"},{"name":"Labha","start":"09:19","end":"10:56","startHours":9.309492127168742,"endHours":10.925127517853959,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:32","startHours":10.925127517853959,"endHours":12.540762908539179,"quality":"auspicious"},{"name":"Kāla","start":"12:32","end":"14:09","startHours":12.540762908539179,"endHours":14.156398299224396,"quality":"inauspicious"},{"name":"Śubha","start":"14:09","end":"15:46","startHours":14.156398299224396,"endHours":15.772033689909616,"quality":"auspicious"},{"name":"Roga","start":"15:46","end":"17:23","startHours":15.772033689909616,"endHours":17.387669080594833,"quality":"inauspicious"},{"name":"Udveg","start":"17:23","end":"19:00","startHours":17.387669080594833,"endHours":19.003304471280053,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:00","end":"20:23","startHours":19.003304471280053,"endHours":20.387669080594833,"quality":"auspicious"},{"name":"Roga","start":"20:23","end":"21:46","startHours":20.387669080594833,"endHours":21.772033689909616,"quality":"inauspicious"},{"name":"Udveg","start":"21:46","end":"23:09","startHours":21.772033689909616,"endHours":23.1563982992244,"quality":"inauspicious"},{"name":"Chala","start":"23:09","end":"00:32","startHours":23.1563982992244,"endHours":24.54076290853918,"quality":"neutral"},{"name":"Labha","start":"00:32","end":"01:56","startHours":24.54076290853918,"endHours":25.92512751785396,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:19","startHours":25.92512751785396,"endHours":27.309492127168742,"quality":"auspicious"},{"name":"Kāla","start":"03:19","end":"04:42","startHours":27.309492127168742,"endHours":28.693856736483525,"quality":"inauspicious"},{"name":"Śubha","start":"04:42","end":"06:05","startHours":28.693856736483525,"endHours":30.078221345798305,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.078221345798304,"endHours":7.078221345798304,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.078221345798304,"endHours":8.078221345798305,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.078221345798305,"endHours":9.078221345798305,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.078221345798305,"endHours":10.078221345798305,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.078221345798305,"endHours":11.078221345798305,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.078221345798305,"endHours":12.078221345798305,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.078221345798305,"endHours":13.078221345798305,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.078221345798305,"endHours":14.078221345798305,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.078221345798305,"endHours":15.078221345798305,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.078221345798305,"endHours":16.078221345798305,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.078221345798305,"endHours":17.078221345798305,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.078221345798305,"endHours":18.078221345798305,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.078221345798305,"endHours":19.078221345798305,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.078221345798305,"endHours":20.078221345798305,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.078221345798305,"endHours":21.078221345798305,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.078221345798305,"endHours":22.078221345798305,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.078221345798305,"endHours":23.078221345798305,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.078221345798305,"endHours":24.078221345798305,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.078221345798305,"endHours":25.078221345798305,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.078221345798305,"endHours":26.078221345798305,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.078221345798305,"endHours":27.078221345798305,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.078221345798305,"endHours":28.078221345798305,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.078221345798305,"endHours":29.078221345798305,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.078221345798305,"endHours":30.078221345798305,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","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":18.209947812023213,"eotMinutes":-6.071374512350812,"ayanamsa":26.0543}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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 Daśamī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"solapur"},"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, 2157 CE · Solapur, Maharashtra · Vidhyamitra","description":"July 31, 2157 CE for Solapur, Maharashtra: Kṛṣṇa Daśamī, sūryodaya 06:05, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/solapur/2157-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/solapur/2157-07-31","sa":"https://sa.vidhyamitra.com/city/solapur/2157-07-31","hi":"https://hi.vidhyamitra.com/city/solapur/2157-07-31","x-default":"https://vidhyamitra.com/city/solapur/2157-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:26:41.238Z","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":"2026-06-02T03:26:41.238Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:26:41.238Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}