{"id":"vidhyamitra:city-day:berlin:2131-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2131-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2131-08-13","date_display":"August 13, 2131 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":2131,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499615.770833,"kali_year":5233,"ahargana":1911150.2708,"sun":{"sidereal_longitude":113.3747,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":345.7566,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.3819,"elapsed_within_tithi_degrees":4.3819},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":345.7566,"elapsed_within_degrees":12.4232},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.1313},"karana":{"half_tithi_index":38,"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":2131,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499615.770833,"ahargana":1911150.2708,"kali_year":5233,"ayanamsa_lahiri":25.6915,"grahas":{"sun":{"sidereal_longitude":114.28295300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":348.161953,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-4.4964},"mars":{"sidereal_longitude":7.258753000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":94.43435299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":56.908953,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":120.488653,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":192.88795300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":78.0616,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.0616,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2131,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499615.770833,"kali_year":5233,"ahargana":1911150.2708,"sun":{"sidereal_longitude":113.3747,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":345.7566,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.3819,"elapsed_within_tithi_degrees":4.3819},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":345.7566,"elapsed_within_degrees":12.4232},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.1313},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.496,"elongation":127.618},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.496,"opposition_distance":52.382}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":0.962,"elongation":2.89}]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:44","sunsetLocal":"19:38","solarNoonLocal":"12:11","dayLengthHours":14.893706202426177,"dayLengthDisplay":"14 Hours 53 Mins 37 Secs","nightLengthDisplay":"9 Hours 06 Mins 23 Secs","moonriseLocal":"21:14","moonsetLocal":"10:19","rahuKala":{"name":"Rāhu Kāla","start":"06:36","end":"08:28","startHours":6.597218853060443,"endHours":8.458932128363715,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:19","end":"12:11","startHours":10.320645403666987,"endHours":12.18235867897026,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:03","end":"15:54","startHours":14.04407195427353,"endHours":15.905785229576804,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:13","end":"08:42","startHours":8.210703691656612,"endHours":8.707160565070819,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:21","end":"05:45","startHours":5.356076669524928,"endHours":5.753242168256293,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:41","startHours":11.685901805556053,"endHours":12.678815552384464,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:45","end":"03:45","startHours":2.7496780841003474,"endHours":3.742591830928759,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:30","end":"04:44","startHours":3.494363394221656,"endHours":4.735505577757171,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:39","startHours":14.664643046041288,"endHours":15.6575567928697,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:26","end":"19:50","startHours":19.429211780183348,"endHours":19.829211780183346,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:38","end":"20:15","startHours":19.629211780183347,"endHours":20.249782871951105,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:23","end":"21:08","startHours":19.379211780183347,"endHours":21.129211780183347,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:41","startHours":23.685901805556053,"endHours":24.678815552384467,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"04:44","end":"06:36","startHours":4.735505577757171,"endHours":6.597218853060443,"quality":"auspicious"},{"name":"Kāla","start":"06:36","end":"08:28","startHours":6.597218853060443,"endHours":8.458932128363715,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"10:19","startHours":8.458932128363715,"endHours":10.320645403666987,"quality":"auspicious"},{"name":"Roga","start":"10:19","end":"12:11","startHours":10.320645403666987,"endHours":12.18235867897026,"quality":"inauspicious"},{"name":"Udveg","start":"12:11","end":"14:03","startHours":12.18235867897026,"endHours":14.04407195427353,"quality":"inauspicious"},{"name":"Chala","start":"14:03","end":"15:54","startHours":14.04407195427353,"endHours":15.905785229576804,"quality":"neutral"},{"name":"Labha","start":"15:54","end":"17:46","startHours":15.905785229576804,"endHours":17.767498504880077,"quality":"auspicious"},{"name":"Amṛta","start":"17:46","end":"19:38","startHours":17.767498504880077,"endHours":19.629211780183347,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:38","end":"20:46","startHours":19.629211780183347,"endHours":20.767498504880074,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"21:54","startHours":20.767498504880074,"endHours":21.905785229576804,"quality":"auspicious"},{"name":"Amṛta","start":"21:54","end":"23:03","startHours":21.905785229576804,"endHours":23.04407195427353,"quality":"auspicious"},{"name":"Kāla","start":"23:03","end":"00:11","startHours":23.04407195427353,"endHours":24.18235867897026,"quality":"inauspicious"},{"name":"Śubha","start":"00:11","end":"01:19","startHours":24.18235867897026,"endHours":25.320645403666987,"quality":"auspicious"},{"name":"Roga","start":"01:19","end":"02:28","startHours":25.320645403666987,"endHours":26.458932128363713,"quality":"inauspicious"},{"name":"Udveg","start":"02:28","end":"03:36","startHours":26.458932128363713,"endHours":27.59721885306044,"quality":"inauspicious"},{"name":"Chala","start":"03:36","end":"04:44","startHours":27.59721885306044,"endHours":28.73550557775717,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"04:44","end":"05:44","startHours":4.735505577757171,"endHours":5.735505577757171,"planetary_lord":"Moon"},{"name":"Hora 2","start":"05:44","end":"06:44","startHours":5.735505577757171,"endHours":6.735505577757171,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"06:44","end":"07:44","startHours":6.735505577757171,"endHours":7.735505577757171,"planetary_lord":"Venus"},{"name":"Hora 4","start":"07:44","end":"08:44","startHours":7.735505577757171,"endHours":8.73550557775717,"planetary_lord":"Sun"},{"name":"Hora 5","start":"08:44","end":"09:44","startHours":8.73550557775717,"endHours":9.73550557775717,"planetary_lord":"Mars"},{"name":"Hora 6","start":"09:44","end":"10:44","startHours":9.73550557775717,"endHours":10.73550557775717,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"10:44","end":"11:44","startHours":10.73550557775717,"endHours":11.73550557775717,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"11:44","end":"12:44","startHours":11.73550557775717,"endHours":12.73550557775717,"planetary_lord":"Moon"},{"name":"Hora 9","start":"12:44","end":"13:44","startHours":12.73550557775717,"endHours":13.73550557775717,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"13:44","end":"14:44","startHours":13.73550557775717,"endHours":14.73550557775717,"planetary_lord":"Venus"},{"name":"Hora 11","start":"14:44","end":"15:44","startHours":14.73550557775717,"endHours":15.73550557775717,"planetary_lord":"Sun"},{"name":"Hora 12","start":"15:44","end":"16:44","startHours":15.73550557775717,"endHours":16.73550557775717,"planetary_lord":"Mars"},{"name":"Hora 13","start":"16:44","end":"17:44","startHours":16.73550557775717,"endHours":17.73550557775717,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"17:44","end":"18:44","startHours":17.73550557775717,"endHours":18.73550557775717,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"18:44","end":"19:44","startHours":18.73550557775717,"endHours":19.73550557775717,"planetary_lord":"Moon"},{"name":"Hora 16","start":"19:44","end":"20:44","startHours":19.73550557775717,"endHours":20.73550557775717,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"20:44","end":"21:44","startHours":20.73550557775717,"endHours":21.73550557775717,"planetary_lord":"Venus"},{"name":"Hora 18","start":"21:44","end":"22:44","startHours":21.73550557775717,"endHours":22.73550557775717,"planetary_lord":"Sun"},{"name":"Hora 19","start":"22:44","end":"23:44","startHours":22.73550557775717,"endHours":23.73550557775717,"planetary_lord":"Mars"},{"name":"Hora 20","start":"23:44","end":"00:44","startHours":23.73550557775717,"endHours":24.73550557775717,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"00:44","end":"01:44","startHours":24.73550557775717,"endHours":25.73550557775717,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"01:44","end":"02:44","startHours":25.73550557775717,"endHours":26.73550557775717,"planetary_lord":"Moon"},{"name":"Hora 23","start":"02:44","end":"03:44","startHours":26.73550557775717,"endHours":27.73550557775717,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"03:44","end":"04:44","startHours":27.73550557775717,"endHours":28.73550557775717,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","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":14.82059836527793,"eotMinutes":-4.561520738215509,"ayanamsa":25.6915}},"calendars":{"vikram_samvat":2188,"vikram_samvatsara":"Krodhi","saka_samvat":2053,"saka_samvatsara":"Khara","bengali_samvat":1538,"malayalam_era":1307,"nanakshahi_year":662,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Bhādrapada Kṛṣṇa Pañcamī · Vikram 2188 Krodhi · Śaka 2053 Khara"},"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 13, 2131 CE · Berlin, Germany · Vidhyamitra","description":"August 13, 2131 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 04:44, sūryāsta 19:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2131-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2131-08-13","sa":"https://sa.vidhyamitra.com/city/berlin/2131-08-13","hi":"https://hi.vidhyamitra.com/city/berlin/2131-08-13","x-default":"https://vidhyamitra.com/city/berlin/2131-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:08:28.275Z","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":"2026-06-02T19:08:28.275Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:08:28.275Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}