{"id":"vidhyamitra:city-day:perth:2138-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2138-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-10-13","date_display":"October 13, 2138 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":2138,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502233.770833,"kali_year":5240,"ahargana":1913768.2708,"sun":{"sidereal_longitude":172.7298,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":282.6818,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.9519,"elapsed_within_tithi_degrees":1.9519},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.6818,"elapsed_within_degrees":2.6818},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.4116},"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":2138,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502233.770833,"ahargana":1913768.2708,"kali_year":5240,"ayanamsa_lahiri":25.7917,"grahas":{"sun":{"sidereal_longitude":173.80702700000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":281.21282700000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-1.2893},"mars":{"sidereal_longitude":214.711727,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":197.09962700000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":244.41242699999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":142.38102700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":272.37172699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":299.3473,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.3473,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"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":2138,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502233.770833,"kali_year":5240,"ahargana":1913768.2708,"sun":{"sidereal_longitude":172.7298,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":282.6818,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.9519,"elapsed_within_tithi_degrees":1.9519},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.6818,"elapsed_within_degrees":2.6818},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":95.4116},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.289,"elongation":109.952},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.289,"opposition_distance":70.048}},"eclipse_window_40days":[]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:39","sunsetLocal":"18:25","solarNoonLocal":"12:02","dayLengthHours":12.774770586252592,"dayLengthDisplay":"12 Hours 46 Mins 29 Secs","nightLengthDisplay":"11 Hours 13 Mins 31 Secs","moonriseLocal":"12:21","moonsetLocal":"02:03","rahuKala":{"name":"Rāhu Kāla","start":"07:15","end":"08:50","startHours":7.244720543354021,"endHours":8.841566866635596,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:26","end":"12:02","startHours":10.438413189917169,"endHours":12.035259513198742,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:38","end":"15:14","startHours":13.632105836480317,"endHours":15.22895215976189,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:03","startHours":8.628654023531386,"endHours":9.054479709739805,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:31","startHours":6.180156327832972,"endHours":6.5208168767997075,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:28","startHours":11.609433826990323,"endHours":12.461085199407162,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:48","startHours":3.944571475238768,"endHours":4.796222847655608,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:39","startHours":4.583310004551398,"endHours":5.647874220072447,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"15:01","startHours":14.164387944240842,"endHours":15.01603931665768,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.22264480632504,"endHours":18.622644806325038,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:57","startHours":18.42264480632504,"endHours":18.954926914085565,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.17264480632504,"endHours":19.92264480632504,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:28","startHours":23.609433826990323,"endHours":24.46108519940716,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:39","end":"07:15","startHours":5.647874220072447,"endHours":7.244720543354021,"quality":"auspicious"},{"name":"Kāla","start":"07:15","end":"08:50","startHours":7.244720543354021,"endHours":8.841566866635596,"quality":"inauspicious"},{"name":"Śubha","start":"08:50","end":"10:26","startHours":8.841566866635596,"endHours":10.438413189917169,"quality":"auspicious"},{"name":"Roga","start":"10:26","end":"12:02","startHours":10.438413189917169,"endHours":12.035259513198742,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:38","startHours":12.035259513198742,"endHours":13.632105836480317,"quality":"inauspicious"},{"name":"Chala","start":"13:38","end":"15:14","startHours":13.632105836480317,"endHours":15.22895215976189,"quality":"neutral"},{"name":"Labha","start":"15:14","end":"16:50","startHours":15.22895215976189,"endHours":16.825798483043464,"quality":"auspicious"},{"name":"Amṛta","start":"16:50","end":"18:25","startHours":16.825798483043464,"endHours":18.42264480632504,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:25","end":"19:50","startHours":18.42264480632504,"endHours":19.825798483043464,"quality":"neutral"},{"name":"Labha","start":"19:50","end":"21:14","startHours":19.825798483043464,"endHours":21.228952159761892,"quality":"auspicious"},{"name":"Amṛta","start":"21:14","end":"22:38","startHours":21.228952159761892,"endHours":22.632105836480317,"quality":"auspicious"},{"name":"Kāla","start":"22:38","end":"00:02","startHours":22.632105836480317,"endHours":24.035259513198742,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"01:26","startHours":24.035259513198742,"endHours":25.43841318991717,"quality":"auspicious"},{"name":"Roga","start":"01:26","end":"02:50","startHours":25.43841318991717,"endHours":26.841566866635596,"quality":"inauspicious"},{"name":"Udveg","start":"02:50","end":"04:15","startHours":26.841566866635596,"endHours":28.24472054335402,"quality":"inauspicious"},{"name":"Chala","start":"04:15","end":"05:39","startHours":28.24472054335402,"endHours":29.647874220072445,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.647874220072447,"endHours":6.647874220072447,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.647874220072447,"endHours":7.647874220072447,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.647874220072447,"endHours":8.647874220072447,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.647874220072447,"endHours":9.647874220072447,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.647874220072447,"endHours":10.647874220072447,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.647874220072447,"endHours":11.647874220072447,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.647874220072447,"endHours":12.647874220072447,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.647874220072447,"endHours":13.647874220072447,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.647874220072447,"endHours":14.647874220072447,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.647874220072447,"endHours":15.647874220072447,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.647874220072447,"endHours":16.647874220072445,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.647874220072445,"endHours":17.647874220072445,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.647874220072445,"endHours":18.647874220072445,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.647874220072445,"endHours":19.647874220072445,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.647874220072445,"endHours":20.647874220072445,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.647874220072445,"endHours":21.647874220072445,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.647874220072445,"endHours":22.647874220072445,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.647874220072445,"endHours":23.647874220072445,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.647874220072445,"endHours":24.647874220072445,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.647874220072445,"endHours":25.647874220072445,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.647874220072445,"endHours":26.647874220072445,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.647874220072445,"endHours":27.647874220072445,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.647874220072445,"endHours":28.647874220072445,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.647874220072445,"endHours":29.647874220072445,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.666783533518065,"eotMinutes":14.442429208075392,"ayanamsa":25.7917}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Daśamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"related_chart":"rama","sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]}],"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":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 13, 2138 CE · Perth, Australia · Vidhyamitra","description":"October 13, 2138 CE for Perth, Australia: Śukla Daśamī, sūryodaya 05:39, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2138-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2138-10-13","sa":"https://sa.vidhyamitra.com/city/perth/2138-10-13","hi":"https://hi.vidhyamitra.com/city/perth/2138-10-13","x-default":"https://vidhyamitra.com/city/perth/2138-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:40:23.043Z","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":"2026-05-31T11:40:23.043Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:40:23.043Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}